Mathematics Practice Test – Matrices and Determinant (Questions with Answers and Explanations)

Hello and Welcome to Mathematics Practice Test - Matrices and Determinant

1. You are to attempt 5 random objectives questions ONLY.
2. Supply Your Full Name and Location in the text box below and begin immediately.
3. You can attempt as many times as possible
1.

If A (x, y) → (2x - y, -5x + 3y) and B = $\begin{pmatrix}&space;3&1&space;&space;\\&space;5&2&space;&space;\\\end{pmatrix}$, find A2 - B2

A. $\begin{pmatrix}&space;9&-5&space;&space;\\&space;-25&14&space;&space;\\\end{pmatrix}$      B. $\begin{pmatrix}&space;14&5&space;&space;\\&space;25&9&space;&space;\\\end{pmatrix}$      C. $\begin{pmatrix}&space;2&-1&space;&space;\\&space;-5&3&space;&space;\\\end{pmatrix}$      D. $5\begin{pmatrix}&space;1&2&space;&space;\\&space;10&-1&space;&space;\\\end{pmatrix}$

2.

Given that $\dpi{110}\begin{pmatrix}&space;2&-3&space;&space;\\&space;1&4&space;&space;\\\end{pmatrix}&space;\binom{-6}{P}&space;=&space;\binom{3}{-26}$ , find the value of p. (WASSCE FM 2006)

A. -8      B. -5      C. -4      D. -3

3.

Given that A = $\dpi{110}\begin{pmatrix}&space;3&4&space;&space;\\&space;2&5&space;&space;\\\end{pmatrix}$ and X = $\dpi{110}\begin{pmatrix}3&space;\;&space;4\end{pmatrix}$ .
Which of the following operations is possible?

A. QP      B. P2      C. Q2P      D. PQ

4.

The inverse of the matric $\begin{pmatrix}&space;2&space;&&space;1\\&space;1&space;&&space;1&space;\end{pmatrix}$ is  ______

A. $\begin{pmatrix}&space;1&space;&&space;1\\&space;-1&space;&&space;2&space;\end{pmatrix}$     B. $\begin{pmatrix}&space;1&space;&&space;-1\\&space;1&space;&&space;2&space;\end{pmatrix}$     C. $\begin{pmatrix}&space;1&space;&&space;1\\&space;1&space;&&space;2&space;\end{pmatrix}$     D. $\begin{pmatrix}&space;1&space;&&space;-1\\&space;-1&space;&&space;2&space;\end{pmatrix}$

5.

Given that P = $\begin{pmatrix}&space;-2&1&space;&space;\\&space;3&4&space;&space;\\\end{pmatrix}$ and Q = $\begin{pmatrix}&space;5&-3&space;&space;\\&space;2&-1&space;&space;\\\end{pmatrix}$, find PQ - QP. (WASSCE FM 2014)

A. $\begin{pmatrix}&space;0&0&space;&space;\\&space;0&0&space;&space;\\\end{pmatrix}$      B. $\begin{pmatrix}&space;27&12&space;&space;\\&space;16&-15&space;&space;\\\end{pmatrix}$      C. $\begin{pmatrix}&space;-20&-6&space;&space;\\&space;12&-8&space;&space;\\\end{pmatrix}$      D. $\begin{pmatrix}&space;11&12&space;&space;\\&space;30&-11&space;&space;\\\end{pmatrix}$

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