Algebra 2 Matrices. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find.
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1 Algebra 2 Matrices Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find. Evaluate the determinant of the matrix A matrix contains 48 elements. Which of the following cannot equal the number of rows of the matrix? Use Cramer s Rule to solve the system. 4. Identify the given matrix element
2 Solve the system Find the product Use matrices A, B, and C. Find the sum or difference if you can. 12. C + A 13.
3 14. State the dimensions of the matrix. Identify the indicated element. Solve the matrix equation Find the values of the variables
4 Evaluate the determinant. 20. Find the sum or difference Suppose A and B are 2 1 matrices. Which of the following are the dimensions of the matrix A + B?
5 Algebra 2 Matrices Answer Section Review MULTIPLE CHOICE 1. ANS: D PTS: 1 DIF: L2 REF: 4-3 Matrix Multiplication OBJ: Multiplying a Matrix by a Scalar STA: MS AII 7d TOP: 4-3 Example 2 KEY: scalar multiplication matrix subtraction matrix 2. ANS: C PTS: 1 DIF: L2 REF: x 3 Matrices, Determinants, and Inverses OBJ: Evaluating Determinants of 3 x 3 Matrices STA: MS AII 7b TOP: 4-6 Example 1 KEY: determinant 3 x 3 matrix matrix 3. ANS: A PTS: 1 DIF: L4 REF: 4-1 Organizing Data Into Matrices OBJ: Identifying Matrices STA: MS AII 7a KEY: matrix dimensions of a matrix matrix element 4. ANS: D PTS: 1 DIF: L3 REF: 4-8 Augmented Matrices and Systems OBJ: Solving Systems Using Cramer's Rule STA: MS AII 2a TOP: 4-8 Example 1 KEY: Cramer's Rule systems and matrices 2 x 2 matrix 5. ANS: D PTS: 1 DIF: L2 REF: 4-1 Organizing Data Into Matrices OBJ: Identifying Matrices STA: MS AII 7a TOP: 4-1 Example 2 KEY: matrix matrix element 6. ANS: D PTS: 1 DIF: L2 REF: 4-1 Organizing Data Into Matrices OBJ: Identifying Matrices STA: MS AII 7a TOP: 4-1 Example 2 KEY: matrix matrix element 7. ANS: C PTS: 1 DIF: L2 REF: 4-7 Inverse Matrices and Systems OBJ: Solving Systems of Equations Using Inverse Matrices STA: MS AII 2a TOP: 4-7 Example 2 KEY: systems and matrices 2 x 2 matrix matrix equation 8. ANS: A PTS: 1 DIF: L2 REF: 4-8 Augmented Matrices and Systems OBJ: Solving Systems Using Cramer's Rule STA: MS AII 2a TOP: 4-8 Example 2 KEY: systems and matrices 3 x 3 matrix Cramer's Rule 9. ANS: D PTS: 1 DIF: L2 REF: 4-3 Matrix Multiplication OBJ: Multiplying Matrices STA: MS AII 7d TOP: 4-3 Example 4 KEY: matrix multiplication matrix 10. ANS: B PTS: 1 DIF: L3 REF: 4-3 Matrix Multiplication OBJ: Multiplying Matrices STA: MS AII 7d TOP: 4-3 Example 4 KEY: matrix multiplication matrix 11. ANS: B PTS: 1 DIF: L2 REF: 4-3 Matrix Multiplication OBJ: Multiplying a Matrix by a Scalar STA: MS AII 7d TOP: 4-3 Example 1 KEY: scalar scalar multiplication matrix 12. ANS: D PTS: 1 DIF: L3 TOP: 4-2 Example 1 KEY: matrix addition dimensions of a matrix matrix subtraction 13. ANS: B PTS: 1 DIF: L2
6 TOP: 4-2 Example 1 KEY: matrix subtraction dimensions of a matrix matrix addition 14. ANS: D PTS: 1 DIF: L3 REF: 4-1 Organizing Data Into Matrices OBJ: Identifying Matrices STA: MS AII 7a TOP: 4-1 Example 1 KEY: matrix dimensions of a matrix matrix element 15. ANS: B PTS: 1 DIF: L2 REF: x 2 Matrices, Determinants, and Inverses OBJ: Using Inverse Matrices to Solve Equations STA: MS AII 7b TOP: 4-5 Example 4 KEY: inverse matrices matrix multiplicative inverse of a matrix 16. ANS: D PTS: 1 DIF: L2 REF: 4-3 Matrix Multiplication OBJ: Multiplying a Matrix by a Scalar STA: MS AII 7d TOP: 4-3 Example 3 KEY: scalar scalar multiplication matrix matrix equation 17. ANS: D PTS: 1 DIF: L2 OBJ: Solving Matrix Equations TOP: 4-2 Example 4 KEY: matrix equation 18. ANS: D PTS: 1 DIF: L4 OBJ: Solving Matrix Equations TOP: 4-2 Example 6 KEY: matrix matrix equation matrix element 19. ANS: D PTS: 1 DIF: L2 OBJ: Solving Matrix Equations TOP: 4-2 Example 6 KEY: matrix matrix equation matrix element 20. ANS: B PTS: 1 DIF: L3 REF: x 2 Matrices, Determinants, and Inverses OBJ: Evaluating Determinants of 2 x 2 Matrices STA: MS AII 7b KEY: determinant 2 x 2 matrix matrix 21. ANS: D PTS: 1 DIF: L2 TOP: 4-2 Example 2 KEY: matrix addition matrix 22. ANS: B PTS: 1 DIF: L2 TOP: 4-2 Example 3 KEY: matrix subtraction matrix 23. ANS: A PTS: 1 DIF: L3 KEY: matrix addition matrix
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