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Mathematical Methods by E. Rukmangadachari

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Chapter 1 Matrices and Linear Systems of Equations

1. If images and images then det (AB) = _______.

Ans: −60

2. The cofactor of ‘−2’ in images is _______.

Ans: −12

3. The minor of a32 element in matrix A in Question 2 is _______.

Ans: −6

4. For matrix A in Question 2 det A = _______.

Ans: – 8

5. (Adj I) = _______.

Ans: I

6. If A is an nth order square matrix, then Adj (kA) is _______.

Ans: kn−1(Adj A)

7. If the system AX = B is consistent then for ...

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