If A is a square matrix of order 3 - 3 such that -A-5- then find -4A-

Given that: |A|=5 |4A|=4^3× |A|=4^3× 5=320 ...

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Definition of a Determinant

If A is a s...

Question

If $A$ is a square matrix of order $3 \times 3$ such that $| A | = 5$ , then find $| 4 A |$ .

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Solution

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A

3

| a d j . A | = 36

| A |

A^{2} - 4 A + 4 I = 0

B = A^{5} - 4 A^{4} + 6 A^{3} + 4 A^{2} + A

|A| = \frac{5}{2}, then |A^{- 1}|

3

| A | = 5

| a d j A |

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