Question

for a matrix A having |A| = 0, which of the following are true?

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

For a matrix A having | A | = 0, then which of the following is true

(A) Two columns of matrix A are identical

(B) A is symmetric matrix

(C) A is skew symmetric matrix

(D) None of these.

EVALUATION

Since | A | = 0

⇒ Determinant value of A = 0

⇒ Two columns of matrix A are identical or Two rows of matrix A are identical

FINAL ANSWER

Hence the correct option is

(A) Two columns of matrix A are identical

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