Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
7. Systems of Equations & Matrices
Introduction to Matrices
2:45 minutes
Problem 12a
Textbook Question
In Exercises 9 - 16, find the following matrices: a. A + B 3 1 1 2 - 3 6 A = B = - 1 2 5 - 3 1 - 4
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1
Identify the matrices A and B from the problem: A = \begin{bmatrix} 3 & 1 & 1 \\ -1 & 2 & 5 \end{bmatrix}, B = \begin{bmatrix} 2 & -3 & 6 \\ -3 & 1 & -4 \end{bmatrix}.
Ensure that both matrices A and B have the same dimensions, which they do (2x3 matrices).
Add the corresponding elements of matrices A and B. For example, add the element in the first row, first column of A to the element in the first row, first column of B: 3 + 2.
Continue adding corresponding elements for each position in the matrices: (1,2), (1,3), (2,1), (2,2), and (2,3).
Write the resulting matrix from the addition of A and B.
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