(1 point) Suppose that we have 5 matrices A a 3 x 2 matrix, B a 2 x 3 matrix, C a 4 x 4 matrix, D a 3 x 2 matrix, and Ea 4 x 4 matrix. Which of the following matrix operations are defined? A. A+D B. C+E C. 3C - 6D D. 4E-6D E. 4D + A F. 3A G. C+E+D H. 4B L. A + B
9. Given det(A5x5)-3, find det(A3), det(5A), det(2AT), det(3A-1). 9. Given det(A5x5)-3, find det(A3), det(5A), det(2AT), det(3A-1).
1 2 0 4 23 4 -2 1 3 (a) 2A +B (c) AB (b) A - 4B (d) BA
4. Let T: R - R be a linear transformation such that 2x1 32 32 3 -1 22 + T3 T 2 Find the standard matrix of T. 5. Compute 3A - 4B, AB and BA: 021 3 1 0 and B -2 0 1 3 2 1 A = 1 -4 1 1 4 0 6. Find the inverse of each matrix BEE 0 1 -2 4 -6 and 1 1 3 -5 3 -1 1
Please show work and explain (1 point) If -2 -3 0 -4 1 and -2 -4 1 -3 -2 B -4 -4 -4 then 1 -3 ЗА - 2В %3
(1 point) It 2 2 31 A- 3-4 3 then Given b1olve Ai-b -4
Just do the green circle For Exercises 67-74, factor out the polynomial CLI.S 67 y(a 3) 2(a 3) GC Set 69.ja(an卞sn) + b(2h (2m+3m)(4a+b)3 68. a(x - 4) +5(x -4) (x 4a+5) a-3)y +2) 72. 3m(3a-2)- 4(3a 2 1)5x(4m-5)-2(4m-5) (3a 2)(3m -4) 70. 3m(3a +5b) +n(3a + 5b) 3a+56)(3m+) 4-5)(5x 2) 74. 6r(3y +5) -3a(3y +5) (3y+52)21-) Objective 4 Prep Exercise 5 What kinds of polynomials are factored by grouping? Four-term polynomials Prep Exercise 6 When factoring by grouping, after...
(1 point) Suppose that: -4 -2 -1 -3 -3 A= 1 and B = -1 -3 -1 -4 4 4 -3 -5 Given the following descriptions, determine the following elementary matrices and their inverses. e. The elementary matrix Es multiplies the second row of B by 1/2 Es = f. The elementary matrix Es multiplies the third row of B by -6. Eg = g. The elementary matrix E, switches the first and third rows of B. ,E,= h. The...
For the linear program Max 3A+2B s.t. A+B>=4 3A+4B<=24 A>=2 A-B<=0 A, B>=0 a. Write the problem in standard form. b. Solve the problem. c. What are the values of the slack and surplus variables at the optimal solution?
(1 point) Let 4 4 -4 3 -2 A-14-3-2 4 -2 5 3 5 Give a non-zero vector in the null space of A