If A is a 4 × 4 matrix, |A| ≠ 0 and |3A| = k |A|, then write the va

1.	If A is a 4 × 4 matrix, \|A\| ≠ 0 and \|3A\| = k \|A\|, then write the value of k.
Answer» $4 \times 4 \: matrix \: \|a11 \: a12 \: a13 \: a14 \: \| \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \|a21 \: a22 \: a23 \: a24 \| \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \|a31 \: a32 \: 33 \: a34 \| \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \|a41 \: a42 \: a43 \: a44 \: \|$ $\|3a\| = k \|a\| \\ k = 3$ GOOD MORNING

If A is a 4 × 4 matrix, |A| ≠ 0 and |3A| = k |A|, then write the value of k.

Answer»

$4 \times 4 \: matrix \: |a11 \: a12 \: a13 \: a14 \: | \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: |a21 \: a22 \: a23 \: a24 | \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: |a31 \: a32 \: 33 \: a34 | \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: |a41 \: a42 \: a43 \: a44 \: |$

$|3a| = k |a| \\ k = 3$

GOOD MORNING

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If A is a 4 × 4 matrix, |A| ≠ 0 and |3A| = k |A|, then write the value of k.

GOOD MORNING

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