Question

If A is a square matrix of order 7, find the value of |3 adjA|

Answer 1

Answer:

2187 * |A|⁶

Step-by-step explanation:

|kB| = kⁿ |B|, where,

• k- constant
• n- order of matrix
• B- a matrix

now, in our case,

k= 3, n= 7, B = adj. A

∴|3 adj.A| = 3⁷.|adj.A| -----------(1)

|adj.A| = |A|ⁿ⁻¹

= |A|⁷⁻¹

= |A|⁶

3⁷ = 2187

Substituting these values in equation 1

∴|3 adj.A| = 3⁷.|adj.A|

= 2187 * |A|⁶.

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