ACT Math · Number & Quantity
Matrices and vectors practice questions
Each free question on this page comes with its answer and a full explanation.
- Question 3If A = bmatrix 2 & 1 \\ 3 & 4 bmatrix and B = bmatrix 1 & 0 \\ 2 & 1 bmatrix, what is the entry in row 1, column 1 of AB?
- Question 4What is the magnitude of the vector (5, -12)?
- Question 7What is the determinant of bmatrix 5 & 3 \\ 2 & 4 bmatrix?
- Question 43What is bmatrix 7 & 2 \\ 5 & 9 bmatrix - bmatrix 3 & 4 \\ 1 & 6 bmatrix?
- Question 86If u = (4, -3) and v = (-2, 7), what is u + v?
- Question 91What is bmatrix 3 & -1 \\ 2 & 5 bmatrix + bmatrix 4 & 6 \\ -3 & 1 bmatrix?
- Question 129What is the unit vector in the same direction as u = (6, 8)?
- Question 132What is 3bmatrix 2 & -1 \\ 4 & 5 bmatrix?
- Question 219Is the matrix bmatrix 4 & 6 \\ 2 & 3 bmatrix invertible?