JEE Questions for Maths Matrices And Determinants Quiz 13 - MCQExams.com

Maths-Matrices and Determinants-40064.png

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Maths-Matrices and Determinants-40070.png

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2)
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Maths-Matrices and Determinants-40076.png

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A symmetric matrix
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A skew symmetric
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A unit matrix
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An elementry matrix

Maths-Matrices and Determinants-40078.png

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Maths-Matrices and Determinants-40084.png

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Maths-Matrices and Determinants-40090.png

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0
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1
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Maths-Matrices and Determinants-40094.png

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None of the above

Maths-Matrices and Determinants-40099.png

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Which of the following
(i) Adjoint of a symmetric matrix is symmetric
(ii) Adjoint of a unit matrix is a unit matrix.
(iii) A(adj A) = (adj A) A = |A| I and
(iv) Adjoint of a diagonal matrix is a diagonal matrix, is/are incorrect.

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(i)
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(ii)
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(iii) and (iv)
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None of these

Maths-Matrices and Determinants-40104.png

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Symmetric
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Skew-symmetric
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Hermitian
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Skew-hermitian

The inverse of a symmetric matrix is

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Symmetric
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Skew-symmetric
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Diagonal matrix
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None of these

Maths-Matrices and Determinants-40107.png

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2)
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Maths-Matrices and Determinants-40113.png

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A symmetric matrix
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Skew-symmetric matrix
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Diagonal matrix
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None of the above

Maths-Matrices and Determinants-40115.png

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A identity matrix of order n
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A unit matrix of order one
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A zero matrix of order one
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None of the above

Maths-Matrices and Determinants-40116.png

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2)
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Maths-Matrices and Determinants-40122.png

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Zero matrix
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Row matrix
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Unit matrix
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None of these

Maths-Matrices and Determinants-40124.png

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3
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5
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2
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4

Maths-Matrices and Determinants-40126.png

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5
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25
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–1
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1
0%
125

Maths-Matrices and Determinants-40128.png

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Orthogonal
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Idempotent
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Skew-symmetric
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Symmetric

Maths-Matrices and Determinants-40130.png

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None of these

Maths-Matrices and Determinants-40135.png

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2)
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None of these

Maths-Matrices and Determinants-40140.png

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Singular
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Non-singular
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Symmetric
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Not defined

Maths-Matrices and Determinants-40142.png

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2)
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Which one of the following statements is true

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Non-singular square matrix does not have a unique inverse
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Determinant of a non-singular matrix is zero
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Maths-Matrices and Determinants-40151.png

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Which of the following is not true

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Every skew-symmetric matrix of odd order is non-singular
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If determinant of a square matrix is non-zero, then it is non singular
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Adjoint of symmetric matrix is symmetric
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Adjoint of a diagonal matrix is diagonal

Maths-Matrices and Determinants-40157.png

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2)
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None of these

Which one of the following is correct

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Skew-symmetric matrix of odd order is non-singular
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Skew-symmetric matrix of odd order is singular
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Skew-symmetric matrix of even order is always singular
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None of the above

Maths-Matrices and Determinants-40162.png

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(6, 11)
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(6, –11)
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(–6, 11)
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(–6, –11)

Maths-Matrices and Determinants-40164.png

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2)
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Maths-Matrices and Determinants-40170.png

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2
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1
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0
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–1

Maths-Matrices and Determinants-40172.png

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7
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–7
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0%
11

Maths-Matrices and Determinants-40175.png

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Zero matrix
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Unit matrix
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Symmetric matrix
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Skew symmetric matrix

Maths-Matrices and Determinants-40177.png

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0%
2)
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0%
None of these

Maths-Matrices and Determinants-40181.png

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Maths-Matrices and Determinants-40187.png

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2)
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Maths-Matrices and Determinants-40193.png

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2)
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0%

Maths-Matrices and Determinants-40198.png

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–2
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0
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1
0%
7

Maths-Matrices and Determinants-40200.png

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Unit matrix
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Symmetric matrix
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Skew symmetric matrix
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Diagonal matrix

Maths-Matrices and Determinants-40202.png

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2)
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0%

Maths-Matrices and Determinants-40208.png

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2)
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None of the above

Maths-Matrices and Determinants-40213.png

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0
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2)
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Does not exist

Maths-Matrices and Determinants-40217.png

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Upper triangular matrix
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Skew symmetric matrix
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Symmetric matrix
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Diagonal matrix

Maths-Matrices and Determinants-40219.png

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2)
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None of the above

Maths-Matrices and Determinants-40224.png

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5
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–1
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2
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–2

Maths-Matrices and Determinants-40226.png

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Non singular matrix
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Symmetric matrix
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Skew-symmetric matrix
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Unit matrix

Maths-Matrices and Determinants-40228.png

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2)
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Maths-Matrices and Determinants-40234.png

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Maths-Matrices and Determinants-40240.png

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Maths-Matrices and Determinants-40246.png

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