EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>AP EAPCET 2021 (19-Aug Afternoon)>Q 1

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$A = [\begin{matrix} a^{2} & 15 & 31 \\ 12 & b^{2} & 41 \\ 35 & 61 & c^{2} \end{matrix}]$ and $B = [\begin{matrix} 2 a & 3 & 5 \\ 2 & 2 b & 8 \\ 1 & 4 & 2 c - 3 \end{matrix}]$ are two matrices such that the sum of the principal diagonal elements of both $A$ and $B$ are equal, then the product of the principal diagonal elements of $B$ is

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Important Questions on Matrices and Determinants

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>AP EAPCET - 20 Aug 2021 Forenoon>Q 2

The trace of the matrix

A = [\begin{matrix} 1 & - 5 & 7 \\ 0 & 7 & 9 \\ 11 & 8 & 9 \end{matrix}]

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>AP EAPCET 2021 (19-Aug Forenoon)>Q 3

The equation whose roots are also the roots of the equation

|\begin{matrix} 1 & - 3 & 1 \\ 1 & 6 & 4 \\ 1 & 3 x & x^{2} \end{matrix}| = 0

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>AP EAPCET - 20 Aug 2021 Afternoon>Q 4

Let

Z_{1}, Z_{2}, Z_{3}

be three non zero complex numbers such that

a = |Z_{1}|, b = |Z_{2}|, c = |Z_{3}|

. if the determinant

|\begin{array}{l} a & b & c \\ b & c & a \\ c & a & b \end{array}| = 0

, then

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>AP EAPCET 2021 (19-Aug Forenoon)>Q 5

If

a_{1}, a_{2}, . . ., a_{9}

are in

G . P .,

then

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

is equal to

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>AP EAPCET 2021 (19-Aug Afternoon)>Q 6

The value of |\begin{array}{ccc} b + c & a & a \\ b & c + a & b \\ c & c & a + b \end{array}| is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>AP EAPCET 2021 (19-Aug Afternoon)>Q 7

Let

a, b, c

be such that

(b + c) \neq 0

and

|\begin{matrix} a & a + 1 & a - 1 \\ - b & b + 1 & b - 1 \\ c & c - 1 & c + 1 \end{matrix}|

+ |\begin{matrix} a + 1 & b + 1 & c - 1 \\ a - 1 & b - 1 & c + 1 \\ {(- 1)}^{n + 2} a & {(- 1)}^{n - 1} b & {(- 1)}^{n} c \end{matrix}| = 0

Then the value of

n

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>AP EAPCET - 20 Aug 2021 Forenoon>Q 8

What is the value of

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

?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Matrices and Determinants>AP EAPCET - 20 Aug 2021 Afternoon>Q 9

If

k \in R

and

det A = |\begin{array}{l} a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & c_{3} \end{array}| = K

then

\det B = |\begin{matrix} a_{1} & b_{1} & c_{1} \\ a_{2} + 2 a_{1} & b_{2} + 2 b_{1} & c_{2} + 2 c_{1} \\ a_{3} & b_{3} & c_{3} \end{matrix}|

is equal to