Let A be an nth-order square matrix and B be its adjoint, then \[\left| AB+K{{I}_{n}} \right|\]is (where K is a scalar quantity)

\[{{(\left| A \right|+K)}^{n-1}}\]

\[{{(\left| A \right|+K)}^{n-2}}\]

\[{{(\left| A \right|+K)}^{n}}\]

Let A be an nth-order square matrix and B be its adjoint, then \[\left

1.	Let A be an nth-order square matrix and B be its adjoint, then \[\left\| AB+K{{I}_{n}} \right\|\]is (where K is a scalar quantity)
A.	\[{{(\left\| A \right\|+K)}^{n-2}}\]
B.	\[{{(\left\| A \right\|+K)}^{n}}\]
C.	\[{{(\left\| A \right\|+K)}^{n-1}}\]
D.	none of these
Answer» C. \[{{(\left\| A \right\|+K)}^{n-1}}\]

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Let A be an nth-order square matrix and B be its adjoint, then \[\left| AB+K{{I}_{n}} \right|\]is (where K is a scalar quantity)

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