Mathematical Methods

Fill in the Blanks

Chapter 1 Matrices and Linear Systems of Equations

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

Ans: −60

2. The cofactor of ‘−2’ in 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 ...