Given the matrices A and B, and the vector c, find the expressions in problems 1, 2 and 3, or explain why they arenot defined.A =[-1221 5-2 21.6[-1 31-4B = 2-1-21리13>C = 1--31d = [340] Problem 33.a: AB3.b: BA3.c: ABCE3.d: ABd

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Answered: Given the matrices A and B, and the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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compute the indicated matrices A3
i need the answer quickly
QUESTION 2
13. Solve the following (given as the augmented matrix): -4 1 71 1 | -5 5 1 10 31 -2 3 20
34 MA-[¨¦¦-----[3] and B = 1 Let A = a. Find AB, if possible. b. Find BA, if possible. 1 38 c. Are the answers in parts a and b the same? d. In general, for matrices A and B such that AB and BA both exist, does AB always equal BA? A. AB = a. Find AB, if possible. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. B. The product AB cannot be found.
Problems 23 through 26 introduce the idea-developed more fully in the next section of a multiplicative inverse of a square matrix. 23. Let 2 А B = = A-[39]- *-[23] 2]. = [a b]. ¹ = [1 2]. and Find B so that AB = I= BA as follows: First equate en- tries on the two sides of the equation AB = I. Then solve the resulting four equations for a, b, c, and d. Finally verify that BA = I as well.
B. Let: A 1 4 0 2 3 -2 3 B 5 -1 = 123 7. C-1 (note question B-4) 8. the product Ad 2 1 -4 -2 1. 2A B 2. AB and BA 3. (AB) and BT AT 4. A and C (note question A-12) 1 +₁0= 1 1 2 3 4 5 6 -1 1 3 3 d= || 1 3 5. the matrix (A, B, or C) in which the row vectors form an orthogonal set 6. A- and B-1 (note question B-5) 3 9. the scalar projection of the rows of A onto the vector d with normalizing d 10. the vector projection of the rows of A onto the vector d with normalizing d 11. the linear combination of the columns of A using the elements of d find: 12. the solution for the equation Bx = d 13. the solution for the equation Cx = d and the reason for it (note question B-7)
I. GIVEN THE FOLLOWING MATRICES -2 0 -5 A = a. (5A)¹ = 5 (A¹) b. (8A)BA(8B) 5 3 4 II. Find the inverse of a matrix. a. 2-3] -12 b. 3x+2y=6 5x-9 y = 15 C. -1 1 -6 12 34 X = III. SOLVE FOR THE VALUES OF THE VARIABLES SUCH THAT EACH OF THE FOLLOWING STATEMENTS IS TRUE B = a. The sum of three numbers is 12. The 1st is 5 times the 2nd. The sum of the 1st and 3rd is 9. Find the numbers. 7 4 2 b. -5 0 2 3x-2y+z=25 x + 3y - 2z = -12 4x - 5y-z=31 -3 2 -6 1 -1 3 2 12 -2 -2 1 IV. SOLVE THE GIVEN SETS OF LINEAR EQUATIONS BY:0 (a) Cramer's Rule (b) Gaussian elimination method (c) Gauss-Jordan Method a)
compute the indicated matrices . FE

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Given the matrices A and B, and the vector c, find the expressions in problems 1, 2 and 3, or explain why they are not defined. A = [-1 2 2 1 5] 2 -2 6 1. " [-1 3 1 -4 B = 2 .-1 -21 1 3 > C = H d = [340]