MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 24

EASY

12th CBSE

IMPORTANT

Earn 100

If $B$ is a skew-symmetric matrix, write whether the matrix $A B A^{T}$ is symmetric or skew-symmetric.

Important Questions on Algebra of Matrices

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 25

If $B$ is a symmetric matrix, write whether the matrix

A B A^{T}

is symmetric or skew-symmetric.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 26

If $A$ is a skew-symmetric and

n \in N

such that

(A^{n})^{T} = λ A^{n}

, write the value of

λ

.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 27

If

A

is a symmetric matrix and

n \in N

, write whether $A^{n}$ is symmetric or skew-symmetric or neither of these two.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 28

If

A

is a skew-symmetric matrix and

n

is an even natural number, write whether $A^{n}$ is symmetric or skew symmetric or neither of these two.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 29

If

A

is a skew-symmetric matrix and

n

is an odd natural number, write whether $A^{n}$ is symmetric or skew-symmetric or neither of the two.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 30

If

A

and

B

are symmetric matrices of the same order, write whether

A B - B A

is symmetric or skew-symmetric or neither of the two.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 31

Write a square matrix which is both symmetric as well as skew-symmetric.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 32

Find the values of

x

and

y

, if

2 [\begin{array}{l} 1 & 3 \\ 0 & x \end{array}] + [\begin{array}{l} y & 0 \\ 1 & 2 \end{array}] = [\begin{array}{l} 5 & 6 \\ 1 & 8 \end{array}]

.