Question

6 3 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. 2 - 5 -4 -5 7 4 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. + ... + A. X, a, +xza2 • + Xnan = (x4)aq +(x2)a2 = (1 + (( (Type the terms of your expression in the same order as they appear in the original expression.) B. xq aq + x2a2 + . . . + xnan = (x9 )aq +(X2)a2 + (x3)a3 = (O+O+O) (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. 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.

Answer 1

Andy We have given C e C 3 A 2 -5 - 4 C 7 ہا C the given method Ax define Linear as Combination Colunu of o and X corresponding if A = {x, x2 entry of Xu] and ba az an then Ax= X, a, ut Xaagt anot Xu au and in our Care have Ć we 2 A= [x X2] 6. -5 3 - 4 4 and Xi [cs] [3] az Son Ax= x, a, tX 9. 2 t (5) C (A) C A