Matrices · Class 12 · CBSE · Science Mathematics
If A is a matrix of order 2 × 3 and B is a matrix of order 3 × 4, what is the order of AB?
Practice question from Matrices (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-9E30B7
If A is a matrix of order 2 × 3 and B is a matrix of order 3 × 4, what is the order of AB?
- A.2 × 3
- B.3 × 4
- C.2 × 4Correct answer
- D.3 × 3
Solution
For the product AB, the inner dimensions 3 and 3 agree. The resulting matrix has the outer dimensions, so AB is of order 2 × 4.
More from Matrices
- Find the inverse of the matrix A = [[2, 1], [1, 1]].
- Let A be an invertible square matrix and let I be the identity matrix of the same order. If A² − 5A + 6I = O, where O is the zero matrix, t…
- Find the matrix X satisfying AX = B, where A = [[2, 1], [1, 1]] and B = [[7, 4], [4, 3]].
- Let A = [[1, 2], [-3, 4]]. What is the matrix A + Aᵀ?
Practise more Mathematics
Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.
Start practising freeFree to start · No credit card needed