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Scalar Matrix

2. Let A and ...

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2. Let A and B be real matrices of the form (shown in picture). Statement 1:AB-BA is always an invertible matrix. Statement 2: AB-BA is never an identity matrix.

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A

B

be two symmetric matrices of order 3.
Statement-1:

A (B A)

(A B) A

are symmetric matrices.
Statement-2:

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Q. If A and B are skew symmetric matrices then (AB - BA) is a matrix and (AB + BA) is a matrix.

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Statement - 1 :

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3 \times 3

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which of the following statements is (are) CORRECT?

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