1.Solve for X from the matrix equation below. Here l is the identity matrix and det(B) ≠ 0 and det(A) ≠ 0.
B(X - l)A + B = A
Choose the correct option:
1. No such matrix X.
2. X=A–¹ B - A.
3. X=A–¹ - B +A.
4. X=A–¹ + B -A.
5. X= -A–¹ + B–¹ + l.
6. X= -(A–¹ + B–¹).
2. Consider the following linear system:
2x - 3y = -1
2x - 3y = 1
1. x=0 and y= 0 satisfy the system.
2. The system has exactly one solution.
3. The system is inconsistent.
4. The system has infinitely many solution.
1.
5.
2.
3. The system is inconsistent.
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