MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 67

MEDIUM

12th CBSE

IMPORTANT

Earn 100

If $A = [\begin{matrix} 3 & 5 \\ 7 & 9 \end{matrix}]$ is written as $A = P + Q$ , Where $P$ is a symmetric matrix and $Q$ is skew symmetric matrix, then write the matrix $P$ .

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 68

Let $A$ and $B$ be matrices of orders

3 \times 2

and

2 \times 4

respectively. Write the order of matrix $A B$ .

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 69

If the matrix

A = [\begin{matrix} 0 & a & - 3 \\ 2 & 0 & - 1 \\ b & 1 & 0 \end{matrix}]

is skew-symmetric, find the values of

' a'

and

' b'

.

EASY

12th CBSE

IMPORTANT

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

If

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

, then

A^{2}

is equal to .

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 2

If

A = [\begin{array}{l} i & 0 \\ 0 & i \end{array}]

,

n \in N

, then

A^{4 n}

equals to

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 3

If $A$ and $B$ are two matrices such that

A B = A

and

B A = B

, then

B^{2}

is equal to

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 4

If

A B = A

and

B A = B

, where $A$ and $B$ are square matrices, then

EASY

12th CBSE

IMPORTANT

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

If $A$ and $B$ are two matrices such

n

that

A B = B

and

B A = A

,

A^{2} + B^{2}

is equal to

HARD

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 5 - Algebra of Matrices>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 6

If

{[\begin{matrix} \cos \frac{2 π}{7} & - \sin \frac{2 π}{7} \\ \sin \frac{2 π}{7} & \cos \frac{2 π}{7} \end{matrix}]}^{k} = [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]

then the least positive integral value of $k$ is