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Inverse of a Matrix

Let A =[] be ...

Question

Let A = [] be the matrix of order 1, then determinant of A is equal to

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Solution

The correct option is A
k

The value of the determinant of a matrix of order 1 is the element of the matrix.That is, If A = [] be the matrix of order 1, then determinant of A is defined to be equal to

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A I_{n}

| A - I_{n} |

\det (A)

\frac{1}{d e t (A)}

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I_{3}

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α

If A is an invertible matrix of order 2, then det $(A^{- 1})$ is equal to
a) $d e t (A)$
(b) $\frac{1}{d e t (A)}$
c) 1
d) zero

3 \times 3

| A | = 1,

B = 2 A^{- 1}

C = \frac{(a d j A)}{\sqrt[3]{2}}

| A B^{2} . C^{3} |

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