MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 15

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12th CBSE

IMPORTANT

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If $S = [s_{i j}]$ is a scalar matrix such that $s_{i i} = k$ and $A$ is a square matrix of the same order, then $A S = S A = ?$

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Important Questions on Algebra of Matrices

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 16

If

A

is a square matrix such that

A^{2} = A

, then

(I + A)^{3} - 7 A

is equal to

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 17

If a matrix $A$ is both symmetric and skew-symmetric, then

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 18

The matrix

[\begin{matrix} 0 & 5 & - 7 \\ - 5 & 0 & 11 \\ 7 & - 11 & 0 \end{matrix}]

is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 19

If $A$ is a square matrix, then

A A

is a

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 20

If $A$ and

B

are symmetric matrices, then

A B A

is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 21

A = [\begin{array}{l} 5 & x \\ y & 0 \end{array}]

and

A = A^{T}

, then

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 22

If $A$ is

3 \times 4

matrix and $B$ is a matrix such that

A^{'} B

and

B A^{'}

are both defined. Then, $B$ is of the type

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 23

If

A = [a_{i j}]

is a square matrix of even order such that

a_{i j} = i^{2} - j^{2}

, then