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Chapter 3 Matrices Ex 3.3 Solutions

Question - 11 : -

If AB aresymmetric matrices of same order, then AB − BA isa

Answer - 11 : -

A. Skew symmetric matrix B. Symmetricmatrix

C. Zero matrix D. Identitymatrix


Solution

The correct answer is A.

A and B are symmetricmatrices, therefore, we have:

Thus, (AB − BA)is a skew-symmetric matrix.

Question - 12 : - If, then, if the value of α is

Answer - 12 : -

A.                   B. 

C. π                   D. 

Solution

The correct answer is B.

Comparing thecorresponding elements of the two matrices, we have:

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