EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>KCET (UG) 2020>Q 7

EASY

KCET (UG)

IMPORTANT

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If $A$ and $B$ are square matrices of same order and $B$ is a skew symmetric matrix, then $A^{'} B A$ is

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Important Questions on Matrices and Determinants

MEDIUM

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>KCET (UG) 2019>Q 8

If

P

and

Q

are symmetric matrices of the same order, then

P Q - Q P

is

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>KCET (UG) 2019>Q 9

The constant term in the expansion of

|\begin{matrix} 3 x + 1 & 2 x - 1 & x + 2 \\ 5 x - 1 & 3 x + 2 & x + 1 \\ 7 x - 2 & 3 x + 1 & 4 x - 1 \end{matrix}|

is

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>KCET (UG) 2021>Q 10

If

f (x) = |\begin{matrix} \cos x & 1 & 0 \\ 0 & 2 \cos x & 3 \\ 0 & 1 & 2 \cos x \end{matrix}|,

then

\lim_{x \to π} f (x) =

MEDIUM

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>KCET (UG) 2021>Q 11

If

x^{3} - 2 x^{2} - 9 x + 18 = 0

and

A = |\begin{array}{l} 1 & 2 & 3 \\ 4 & x & 6 \\ 7 & 8 & 9 \end{array}|

then the maximum value of

A

is

MEDIUM

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>KCET (UG) 2020>Q 12

If

a_{1}, a_{2}, a_{3}, \dots \dots a_{9}

are in

AP

, then the value of

|\begin{array}{l} a_{1} & a_{2} & a_{3} \\ a_{4} & a_{5} & a_{6} \\ a_{7} & a_{8} & a_{9} \end{array}|

is

MEDIUM

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>KCET (UG) 2019>Q 13

If

A = [\begin{array}{l} 1 & 3 \\ 4 & 2 \end{array}], B = [\begin{array}{l} 2 & - 1 \\ 1 & 2 \end{array}],

then

|A B B^{'}| =

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>KCET (UG) 2018>Q 14

If $x, y, z \in R$ , then the value of the determinant

$|\begin{matrix} {(5^{x} + 5^{- x})}^{2} & {(5^{x} - 5^{- x})}^{2} & 1 \\ {(6^{x} + 6^{- x})}^{2} & {(6^{x} - 6^{- x})}^{2} & 1 \\ {(7^{x} + 7^{- x})}^{2} & {(7^{x} - 7^{- x})}^{2} & 1 \end{matrix}|$

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>KCET (UG) 2018>Q 15

The value of the determinant

|\begin{matrix} a - b & b + c & a \\ b - c & c + a & b \\ c - a & a + b & c \end{matrix}|