Matrices: A matrix is a rectangular array of numbers, arranged in rows and columns

This is an MCQ-based quiz on Matrices.

This includes Types of matrices, Operations on Matrices, and Transpose of a Matrix.

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For any unit matrix I

I² = I |I| = 0 |I| = 2 |I| = 5

A matrix A = [aij]m×n is said to be symmetric if

aij = 0 aij = aji aij = aij aij = 1

A matrix A = [aij]m×n is said to be skew symmetric if

aij = 0 aij = aji aij = -aji aij = 1

If A and B are square matrices then (AB)’ =

B’A’ A’B’ AB’ A’B’

A = [aij]m×n is a square matrix if

M = N

M < N

M > N

None of these

The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is

27 18 81 512.

If A, B are symmetric matrices of same order, then AB – BA is a

Skew-symmetric matrix Symmetric matrix Zero matrix Identity matrix.

Matrices A and B will be inverse of each other only if:

AB = BA AB – BA = O AB = O, BA = I AB = BA = I.

If a matrix is both symmetric and skew- symmetric matrix, then:

A is a diagonal matrix A is a zero matrix A is a square matrix None of these.

If A is a square matrix such that A² = A, then (I + A)³ – 7A is equal to :

A I – A I 3A.

If a matrix is both symmetric matrix and skew symmetric matrix then

A is a diagonal matrix A is zero matrix A is scalar matrix None of these

If A is a square matrix such that A² = I, then (A – I)³ + (A + I)³ – 7A is equal to

A I – A I + A 3 A

For any two matrices A and B, we have

AB = BA AB ≠ BA AB = 0 None of these

A square matrix A = [aij]n×n is called a diagonal matrix if aij = 0 for

i = j i < j i > j i ≠ j

If A and B are two matrices of the order 3 × m and 3 × n, respectively, and m = n, then the order of matrix (5A – 2B) is

M × 3

3 × 3

M × N

3 × N

Quiz/Test Summary

Title: Matrices: A matrix is a rectangular array of numbers, arranged in rows and columns

Questions: 15

Contributed by:

Diego Wed, Feb 16, 2022 09:43 PM UTC

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