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Skills practice worksheet for matrix operations, including addition, subtraction, and scalar multiplication, with problems and instructions for students to solve.

Page 20 of a math worksheet titled "3-5 Skills Practice: Operations with Matrices," featuring problems on matrix operations including addition, subtraction, and scalar multiplication, with instructions to perform indicated operations or state if impossible.

Page 20 of a math worksheet titled "3-5 Skills Practice: Operations with Matrices," featuring problems on matrix operations including addition, subtraction, and scalar multiplication, with instructions to perform indicated operations or state if impossible.

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Show Answer Key & Explanations Step-by-step solution for: matrix-algebra-2-worksheet.pdf - Algebra 2 Worksheet Matrix
1. [3 -6] + [-3 9] = [0 3]
2. [4 -3; 1 2] + [12 -7; 6 8] = [16 -10; 7 10]
3. [3 4] + [4 5] = [7 9]
4. [7 -3; -4 1] - [14 6; 12 8] = [-7 -9; -16 -7]
5. [8 9] - [3 4] = [5 5]
6. [3 -1; -4 6] - [4 7; -3 9] = [-1 -8; -1 -3]
7. -2[3 -2; 0 5] + [1 5; 4 1] = [-6 4; 0 -10] + [1 5; 4 1] = [-5 9; 4 -9]
8. 3[2 0; 1 -3] - [12 6; 3 18] = [6 0; 3 -9] - [12 6; 3 18] = [-6 -6; 0 -27]
9. [3 8; 10 4] + 2[2 7; 3 0] = [3 8; 10 4] + [4 14; 6 0] = [7 22; 16 4]
10. [2 8; 3 7] + 2[3 0; 12 6] - [3 -2; 4 5] = [2 8; 3 7] + [6 0; 24 12] - [3 -2; 4 5] = [8 8; 27 19] - [3 -2; 4 5] = [5 10; 23 14]

11. A + B = [7 3; 6 2] + [2 -3; 4 1] = [9 0; 10 3]
12. -C = -[3 4; 1 2] = [-3 -4; -1 -2]
13. C - A = [3 4; 1 2] - [7 3; 6 2] = [-4 1; -5 0]
14. A + B + C = [7 3; 6 2] + [2 -3; 4 1] + [3 4; 1 2] = [9 0; 10 3] + [3 4; 1 2] = [12 4; 11 5]
15. 3B = 3 * [2 -3; 4 1] = [6 -9; 12 3]
16. -5C = -5 * [3 4; 1 2] = [-15 -20; -5 -10]
17. A - 4C = [7 3; 6 2] - 4 * [3 4; 1 2] = [7 3; 6 2] - [12 16; 4 8] = [-5 -13; 2 -6]
18. 2B + 3A = 2 * [2 -3; 4 1] + 3 * [7 3; 6 2] = [4 -6; 8 2] + [21 9; 18 6] = [25 3; 26 8]
Parent Tip: Review the logic above to help your child master the concept of matrix operations worksheets.
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