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Adjoint of a Matrix

For what real...

Question

For what real value of y will matrix A be equal to matrix B, where

A

2 and 3

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B

1/3, 1/2

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C

No real value

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D

1, 3

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Solution

The correct option is C
No real value

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Similar questions

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 0 0 & 1 & 1 0 & - 2 & 4 \end{matrix} ⎤ ⎥ ⎦

I

be an identity matrix of order

3.

A^{- 1} = \frac{1}{6} (A^{2} + c A + d I)

c

d

are real numbers, then the value of

c + d

A = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 & 2 1 & 2 & 3 3 & a & 1 \end{matrix} ⎤ ⎥ ⎦

A^{- 1} = ⎡ ⎢ ⎣ \begin{matrix} 1 / 2 & 1 / 2 & 1 / 2 - 4 & 3 & c 5 / 2 & - 3 / 2 & 1 / 2 \end{matrix} ⎤ ⎥ ⎦

then the values of

a

c

Q. Consider the 5 x 5 matrix

A = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 & 4 & 5 5 & 1 & 2 & 3 & 4 4 & 5 & 1 & 2 & 3 3 & 4 & 5 & 1 & 2 2 & 3 & 4 & 5 & 1 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦

It is given that A has only one real eigen value. Then the real eigen value A is

A

B

3 \times 3

real matrices such that

(A^{2} - B^{2})

is invertible matrix. If

A^{5} = B^{5}

A^{3} B^{2} = A^{2} B^{3}

, then the value of the determinant of the matrix

A^{3} + B^{3}

A

3 \times 3

real matrix. If

det (2 Adj(2 Adj(Adj(2A)))) = 2^{41},

then the value of

det (A^{2})

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