Matrices · Class 12 · CBSE · Science Mathematics
Let A = [[1, 2], [-3, 4]]. What is the matrix A + Aᵀ?
Practice question from Matrices (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-47EC6C
Let A = [[1, 2], [-3, 4]]. What is the matrix A + Aᵀ?
- A.[[2, -1], [-1, 8]]Correct answer
- B.[[2, 5], [5, 8]]
- C.[[1, -3], [2, 4]]
- D.[[2, 1], [1, 8]]
Solution
The transpose is Aᵀ = [[1, -3], [2, 4]]. Therefore, A + Aᵀ = [[2, -1], [-1, 8]].
More from Matrices
- If A is a matrix of order 2 × 3 and B is a matrix of order 3 × 4, what is the order of AB?
- 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]].
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