JEE Questions for Maths Matrices And Determinants Quiz 15 - MCQExams.com

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If A and B are two matrices such that A + B and AB are both defined, then

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A and B are two matrices not necessarily of same order
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A and B are square matrices of same order
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Number of columns of A = Number of rows of B
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None of these

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1
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3
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0

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None of the above

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Matrix theory was introduced by

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Newton
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Cayley-Hamilton
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Cauchy
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Euclid

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Which one of the following is not true

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Matrix addition is commutative
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Matrix addition is associative
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Matrix multiplication is commutative
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Matrix multiplication is associative

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1
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3
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4

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20
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[–20]
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–20
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[20]

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AB
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BA
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A is null matrix
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Choose the correct answer

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Every identity matrix is a scalar matrix
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Every scalar matrix is an identity matrix
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Every diagonal matrix is an identity matrix
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A square matrix whose each element is 1 is an identity matrix

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Symmetric matrix
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Diagonal matrix
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Upper triangular matrix
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Skew symmetric matrix

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Not defined

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–6, –12, –18
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–6, 4, 9
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–6, –4, –9
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–6, 12, 18

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If A, B are square matrices of order 3, A is non-singular and AB = O, then B is a

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Null matrix
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Singular matrix
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Unit matrix
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Non-singular matrix

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0:0:1

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