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Compute the product using the methods below. If a product is undefined, explain why. a. The definition where Ax is the linear combination of the columns of A using the corresponding entries in x as weights. b. The row-vector rule for computing Ax. 6 3 5 4

Compute the product using the methods below. If a product is undefined, explain why. a. The definition where Ax is the linear combination of the columns of A using the corresponding entries in x as weights. b. The row-vector rule for computing Ax. 6 3 5 4

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
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C. The matrix-vector Ax is not defined because the row-vector rule states that the number of columns in matrix A must match the number of entries in the vector x. D. The matrix-vector Ax is not defined because the row-vector rule states that the number of rows in matrix A must match the number of entries in the vector x. Evaluate the expressions found in the previous steps. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Ax= 18 -4 (Simplify your answer.) 12 B. The matrix-vector Ax is not defined.
Transcribed Image Text:C. The matrix-vector Ax is not defined because the row-vector rule states that the number of columns in matrix A must match the number of entries in the vector x. D. The matrix-vector Ax is not defined because the row-vector rule states that the number of rows in matrix A must match the number of entries in the vector x. Evaluate the expressions found in the previous steps. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Ax= 18 -4 (Simplify your answer.) 12 B. The matrix-vector Ax is not defined.
Compute the product using the methods below. If a product is undefined, explain why. a. The definition where Ax is the linear combination of the columns of A using the corresponding entries in x as weights. b. The row-vector rule for computing Ax. A. O B. a. Set up the linear combination of the columns of A using the corresponding entries in x as weights. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. X₁ a₁ + x₂a₂ · +Xnªn = (x₁)ª₁ + (x2)ª₂ + (×3)ª3 = ( + (Type the terms of your expression in the same order as they appear in the original expression.) O A. + ... B. X₁ ª₁ + X₂ª₂ + ... + Xnªn = (x₁ )ª₁ + (x₂)a₂ (Do not simplify.) 6.4+3-2 = 5 (Type the terms of your expression in the same order as they appear in the original expression.) C. The matrix-vector Ax is not defined because the number of columns in matrix A does not match the number of entries in the vector x. O D. The matrix-vector Ax is not defined because the number of rows in matrix A does not match the number of entries in the vector x. -3 4-4-2 (Do not simplify.) 4 b. Set up the product Ax using the row-vector rule. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. 5.4+4 -2 6 + + -2 3 3 -4 4 SO 3 - 3 -4 5 4 -2
Transcribed Image Text:Compute the product using the methods below. If a product is undefined, explain why. a. The definition where Ax is the linear combination of the columns of A using the corresponding entries in x as weights. b. The row-vector rule for computing Ax. A. O B. a. Set up the linear combination of the columns of A using the corresponding entries in x as weights. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. X₁ a₁ + x₂a₂ · +Xnªn = (x₁)ª₁ + (x2)ª₂ + (×3)ª3 = ( + (Type the terms of your expression in the same order as they appear in the original expression.) O A. + ... B. X₁ ª₁ + X₂ª₂ + ... + Xnªn = (x₁ )ª₁ + (x₂)a₂ (Do not simplify.) 6.4+3-2 = 5 (Type the terms of your expression in the same order as they appear in the original expression.) C. The matrix-vector Ax is not defined because the number of columns in matrix A does not match the number of entries in the vector x. O D. The matrix-vector Ax is not defined because the number of rows in matrix A does not match the number of entries in the vector x. -3 4-4-2 (Do not simplify.) 4 b. Set up the product Ax using the row-vector rule. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. 5.4+4 -2 6 + + -2 3 3 -4 4 SO 3 - 3 -4 5 4 -2
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