If A is involutory matrix and I is unit matrix of same order, then (I - A)(I + A) is

Zero matrix

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Solution

The correct option is A Zero matrix
$(I - A) (I + A) = I - A^{2} = O,$
{Since A is involuntary, therefore $A^{2} = I$ }.

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Similar questions

If A is involuntory matrix and I is unit matrix of same order, then (I-A)(I+A) is

For a matrix A, if $A^{2} = I$ where I is a unit matrix of same order, then (I - A)(I + A) is

A

(I + A)^{n} = a I + b A, (I is unit matrix), a, b \in R .

(a + b) =

A

(I - A) (I + A)

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