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CBSE Questions for Class 12 Commerce Maths Matrices Quiz 7 - MCQExams.com

Say true or false:
If A, B be two matrices such that they commute, then A2B2=(AB)(A+B).
  • True
  • False
If A=[4211], then (A2I)(A3I)= 
  • 0
  • A
  • I
  • 5I
If A×[123456]=[123321312] then the order of A is _______
  • 2×3
  • 3×3
  • 3×2
  • 2×2
Inverse of a diagonal matrix is
  • Symmetric
  • A skew-symmetric
  • A diagonal matrix
  • None of these
If A=[1234], then A25A is equal to 
  • 2I
  • 2I
  • 3I
  • Null matrix
If A+I=[3241], then (A+I)(AI) is equal to
  • [5489]
  • [5489]
  • [5489]
  • [5489]
Two matrices A and B are multiplied to get AB if
  • both are rectangular
  • both have same order
  • number of columns of A is equal to rows of B
  • number of rows of A is equal to no of columns of B
If A=[211232443], then A2 is equal to
  • Null matrix
  • Itself A
  • Unit matrix
  • Scalar matrix
If A=[200020002] then A5=
  • 5A
  • 10A
  • 16A
  • 32A
If A and B are symmetric matrices, then ABA is
  • Symmetric
  • Skew-symmetric
  • Diagonal
  • Triangular
If A is an m×n matrix such that AB and BA are both defined, then order of B is
  • m×n
  • n×m
  • n×n
  • m×m
If A=[001010100], then A1 is.
  • A
  • A
  • 1
  • None of these
If A=[1111], then A100 is equal to.
  • 2100A
  • 299A
  • 100A
  • 299A
If [1235], then A1 is equal to
  • [511211311111]
  • [511211311111]
  • [511211311111]
  • [5231]
Let A=[111213111] and 10B=[42250α123], if B is the inverse of matrix A, then α is
  • 2
  • 1
  • 2
  • 5
Inverse of the matrix [cos2θsin2θsin2θcos2θ] is.
  • [cos2θsin2θsin2θcos2θ]
  • [cos2θsin2θsin2θcos2θ]
  • [cos2θsin2θsin2θcos2θ]
  • [cos2θsin2θsin2θcos2θ]
If A=[121213] and B=[213211], then (AB)T is equal to
  • [32107]
  • [31027]
  • [37102]
  • None of these
If [111122131] [xyz]=[034], then [xyz] is equal to.
  • [011]
  • [123]
  • [521]
  • [123]
A=[2412], then A2 is equal to 
  • Null matrix
  • Unit matrix
  • [1001]
  • [0001]
If A=[xyz],B=[ahghbfgfc] and C=[xyz]
Then, ABC=0, if
  • [ax2+by2+cz2+2gxy+2fyz+2czx]=0
  • [ax2+cy2+bz2+xy+yz+zx]=0
  • [ax2+by2+cz2+2hxy+2by+2cz]=0
  • [ax2+by2+cz2+2gzx+2fyz+2hxy]=0
If A and B are any two matrices, then 
  • AB=BA
  • AB=I
  • AB=0
  • AB may or may not be defined
If P=(224134123), then P5 is equal to
  • P
  • 2P
  • P
  • 2P
If A=[2112] and I is the unit matrix of order 2, then A2 equals
  • 4A3I
  • 3A4I
  • AI
  • A+I
If A is a matrix such that (2132)A(1 1)=(1100) then A=
  • (1101)
  • (21)
  • (1011)
  • (23)
For the matrices A=[1301] B=[2214]
What is AB?
  • [3513]
  • [1115]
  • [11414]
  • [2417]
  • none of the above
The symmetric part of the matrix A= [124682227].
  • [143280307]
  • [143480307]
  • [021202120]
  • [021202120]
If A=[0110], then A2 is equal to ______
  • [0110]
  • [1010]
  • [1001]
  • [0101]
[321245][0abc]=[49471019]
Find a,b and c.
  • 2,1,3
  • 1,2,3
  • 3,2,1
  • 1,2,3
If P=(224134123) then P5 equals
  • P
  • 2P
  • P
  • 2P
For a matrix A(100210321), if U1,U2 and U3 are 3×1 column matrices satisfying AU1=(100),AU2(230),AU3=(231) and U is 3×3 matrix whose columns are U1,U2 and U3
Then sum of the elements of U1 is
  • 6
  • 0(zero)
  • 1
  • 2/3
0:0:2


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