MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 9

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12th CBSE

IMPORTANT

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

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Important Questions on Algebra of Matrices

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 10

If

A = [\begin{matrix} n & 0 & 0 \\ 0 & n & 0 \\ 0 & 0 & n \end{matrix}]

and

B = [\begin{matrix} a_{1} & a_{2} & a_{3} \\ b_{1} & b_{2} & b_{3} \\ c^{1} & c_{2} & c_{3} \end{matrix}]

then

A B

is equal to

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MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 11

If

A = [\begin{matrix} 1 & a \\ 0 & 1 \end{matrix}]

then

A^{n}

(where

n \in N

) equals

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 12

If

A = [\begin{array}{l} 1 & 2 & x \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}]

,

B = [\begin{array}{r} 1 & - 2 & y \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}]

and

A B = I_{3}

, then

x + y

equals.

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12th CBSE

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MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 13

If

A = [\begin{matrix} 1 & - 1 \\ 2 & - 1 \end{matrix}], B = [\begin{matrix} a & 1 \\ b & - 1 \end{matrix}]

and

(A + B)^{2} = A^{2} + B^{2}

, values of

a

and

b

are

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MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 14

If

A = [\begin{matrix} α & β \\ γ & - α \end{matrix}]

is such that

A^{2} = I

, then

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12th CBSE

IMPORTANT

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

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 = ?

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