If A = [[1, 2], [3, 4]], find its transpose and state its order.
Matrices
Original Khojo Papers practice question — not from a past board paper.
[[9, 5], [0, 4]]
No citable source has been recorded for this record. Treat it as practice material, not as fact.
A2 = A × A. The entries are 3×3 + 1×0 = 9, 3×1 + 1×2 = 5, 0×3 + 2×0 = 0 and 0×1 + 2×2 = 4.
From the same topic and chapter, at a similar level.
If A = [[1, 2], [3, 4]], find its transpose and state its order.
Matrices
If A = [[2, 1], [0, 3]] and I is the 2 × 2 identity matrix, find AI and IA and state what this shows.
Matrices
Find x and y if [[x, 3], [2, y]] = [[4, 3], [2, 5]].
Matrices
Find the product [[1, 2], [3, 4]] × [[2, 0], [1, 3]].
Matrices
Give an example to show that matrix multiplication is not commutative.
Matrices
If A is of order 3 × 2 and B is of order 2 × 3, then BA is of order:
Matrices