| What to create | Quiz |
| Which subject | Mathematics |
| What age group | Year or Grade 11 |
| What topic | Matrices |
| Question types | Open-ended |
| Number of questions | 5 |
| Number of answers | 4 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
Please answer the following questions related to matrices. Write your answers clearly in the space provided.
Define a matrix and state its dimensions.
Describe what a matrix is and how to determine its dimensions.
Matrix Addition:
Consider the matrices:
( A = \begin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix} )
( B = \begin{pmatrix} 5 & 6 \ 7 & 8 \end{pmatrix} )
Calculate the sum ( A + B ).
Matrix Multiplication:
Given the matrices:
( C = \begin{pmatrix} 2 & 3 \ 1 & 4 \end{pmatrix} )
( D = \begin{pmatrix} 0 & 1 \ 2 & 3 \end{pmatrix} )
Compute the product ( C \times D ).
Determinants:
Calculate the determinant of the following matrix:
( E = \begin{pmatrix} 2 & 5 \ 1 & 3 \end{pmatrix} ).
Inverse of a Matrix:
Find the inverse of the matrix:
( F = \begin{pmatrix} 4 & 7 \ 2 & 6 \end{pmatrix} ).
State the method used to find the inverse.
Ensure that your answers are clearly written and submitted on time. Good luck!