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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. 3 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. O A. X1a, +X2a2 + .- + Xpan = (x1 )a, + (x2)a2 + (x3)az = ( + O+ (Type the terms of your expression in the same order as they appear in the original expression.) OB. X1a1 +X2a2 + .. +Xnan = (x1)aq + (x2)a2 = (| (Type the terms of your expression in the same order as they appear in the original expression.) O 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.

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. 3 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. O A. X1a, +X2a2 + .- + Xpan = (x1 )a, + (x2)a2 + (x3)az = ( + O+ (Type the terms of your expression in the same order as they appear in the original expression.) OB. X1a1 +X2a2 + .. +Xnan = (x1)aq + (x2)a2 = (| (Type the terms of your expression in the same order as they appear in the original expression.) O 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.

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 45E
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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. 3 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. O A. X1a, +X2a2 + .- + Xpan = (x1 )a, + (x2)a2 + (x3)az = ( + O+ (Type the terms of your expression in the same order as they appear in the original expression.) OB. X1a1 +X2a2 + .. +Xnan = (x1)aq + (x2)a2 = (| (Type the terms of your expression in the same order as they appear in the original expression.) O 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.
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. 3 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. O A. X1a, +X2a2 + .- + Xpan = (x1 )a, + (x2)a2 + (x3)az = ( + O+ (Type the terms of your expression in the same order as they appear in the original expression.) OB. X1a1 +X2a2 + .. +Xnan = (x1)aq + (x2)a2 = (| (Type the terms of your expression in the same order as they appear in the original expression.) O 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.
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