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More Matr - Susan purchased 3 CDs, 4 DVDs and 2 cassettes from a music store. Each CD cost $15, each DVD cost $18 and each cassette cost $9. The matrix product that will give the total amount of money she spent is [3][15]

More Matr - Susan purchased 3 CDs, 4 DVDs and 2 cassettes from a music store. Each CD cost $15, each DVD cost $18 and each cassette cost $9. The matrix product that will give the total amount of money she spent is [3][15]

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 86E
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More Matrices Questions 1 Susan purchased 3 CDs, 4 DVDs and 2 cassettes from a music store. Each CD cost $15, each DVD cost $18 and each cassette cost $9. The matrix product that will give the total amount of money she spent is 3 A. B. C. D. [3 4 2] 18 9 E. A. [3][15] 4 18 2 9 3 4 [15 18 9] 2 [3 0 015 0 0] 0 4 0 0 18 0 0 0 2009 [15] [213-1] 2 For the matrix 4 = 4 2 3-3, it is not true that 3 3 3 4 B. C. D. E. 15 # 18 [3 4 2] element 42,4 has a unique value. A2.1+A3,2 = 7 A2.2 is a 2 x 2 matrix. A4.3 is undefined. A2,2-A3,2 = -1 A is a matrix with order 2 x 3. C is a matrix with order mx 4 If ABC then B must have order A. B. C. 3x4 2×4 2 x 3 D. 3×3 E. 4×2 18 | Page
Transcribed Image Text:More Matrices Questions 1 Susan purchased 3 CDs, 4 DVDs and 2 cassettes from a music store. Each CD cost $15, each DVD cost $18 and each cassette cost $9. The matrix product that will give the total amount of money she spent is 3 A. B. C. D. [3 4 2] 18 9 E. A. [3][15] 4 18 2 9 3 4 [15 18 9] 2 [3 0 015 0 0] 0 4 0 0 18 0 0 0 2009 [15] [213-1] 2 For the matrix 4 = 4 2 3-3, it is not true that 3 3 3 4 B. C. D. E. 15 # 18 [3 4 2] element 42,4 has a unique value. A2.1+A3,2 = 7 A2.2 is a 2 x 2 matrix. A4.3 is undefined. A2,2-A3,2 = -1 A is a matrix with order 2 x 3. C is a matrix with order mx 4 If ABC then B must have order A. B. C. 3x4 2×4 2 x 3 D. 3×3 E. 4×2 18 | Page
Power Matrices Only square matrices can be raised to a power. The answer to any power (A², A³ etc) will have the same dimensions as the original matrix. Example 25 If A = A² = AX A A³ = AX AX A -1 1 0 1 [2 -1] - 8 = [ 2₁ ] and C=[; }] B a 24 +8²-20 determine:
Transcribed Image Text:Power Matrices Only square matrices can be raised to a power. The answer to any power (A², A³ etc) will have the same dimensions as the original matrix. Example 25 If A = A² = AX A A³ = AX AX A -1 1 0 1 [2 -1] - 8 = [ 2₁ ] and C=[; }] B a 24 +8²-20 determine:
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