MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 44

EASY

12th CBSE

IMPORTANT

Earn 100

If $I$ is the identity matrix and $A$ is a square matrix such that $A^{2} = A$ , then what is the value of $(I + A)^{2} - 3 A$ ?

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Important Questions on Algebra of Matrices

HARD

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 45

If

A = [\begin{array}{l} 1 & 2 \\ 0 & 3 \end{array}]

is written as

B + C

, where

B

is a symmetric matrix and

C

is a skew-symmetric matrix, then find

B

.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 46

If

A

is

2 \times 3

matrix and

B

is a matrix such that

A^{T} B

and

B A^{T}

both are defined and order of

B

is

m \times n

, then

m + n

is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 47

What is the total number of

2 \times 2

matrices with each entry

0

or

1

?

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 48

If

[\begin{matrix} x & x - y \\ 2 x + y & 7 \end{matrix}] = [\begin{array}{l} 3 & 1 \\ 8 & 7 \end{array}]

, then find the value of

y

.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 49

If a matrix has

5

elements, write all possible orders it can have.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 50

For a

2 \times 2

matrix

A = [a_{i j}]

whose elements are given by

a_{i j} = \frac{i}{j}

, write the value of

a_{12}

.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 51

If

x [\begin{array}{l} 2 \\ 3 \end{array}] + y [\begin{array}{r} - 1 \\ 1 \end{array}] = [\begin{matrix} 10 \\ 5 \end{matrix}]

, find the value of

x

.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 52

If

[\begin{matrix} 9 & - 1 & 4 \\ - 2 & 1 & 3 \end{matrix}] = A + [\begin{matrix} 1 & 2 & - 1 \\ 0 & 4 & 9 \end{matrix}]

, then find matrix

A

.