Interactive Practice

Basic Operations

Test your knowledge on matrix addition, multiplication, transposes, and fundamental vector properties.

1

Matrix Addition

Given matrix A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is the value of A + B at index [0, 1]?

2

Matrix Multiplication

If matrix A is 3x2 and matrix B is 2x4, what are the dimensions of the product AB?

3

Dot Product Basics

What is the dot product of vectors u = [1, 3] and v = [2, -1]?

4

Matrix Transpose

If A = [[1, 2, 3], [4, 5, 6]], what is the element at [2, 0] of A^T (A transpose)?