This Question: 1 pt 12 of 35 I -6 1 LetA= 3 6 -1 -5 and B= -9 -7 -2 -1 -70 Solve the matrix equation 2X + 3A = B for X. X = p (Type an integer or simplified fraction for each matrix element.) Enter your answer in the answer box. Save for Later Previous
Solve the matrix game. 5 0 1 -3 7 4 PE (Type an integer or simplified fraction for each matrix element.)
Solve the matrix game. -2 3-1 -1-2-3 -3-1 3 The optimal strategy for the tow player is P- (Type an integer or simplified fraction for each matrix clement.) The optimal strategy for the column player is 0-0 (Type an integer or simplified fraction for each matrix element.) The value for the game is v (Type an integer or a simplified traction)
6 8 05 8 - 4 Let A: = B = and C:= 6 6 1 3 00 8 (a) Find AB. (b) Find (AB)C. (c) Find (A+B)C. (a) Find AB AB= (Type an integer or simplified fraction for each matrix element.) (b) Find (AB)C. (AB)C = (Type an integer or simplified fraction for each matrix element.) (c) Find (A + B)C. (A + B)C=17
Use the definition of Ax to write the vector equation as a matrix equation. 7 -5 -9 3 5 7 1 X1 + X2 +X3 -4 -4 - 7 7 -9 8 -3 4 X1 3 1 X2 7 X₂ (Type an integer or simplified fraction for each matrix element.)
- 3 -9 Given A= 7 21 find one nontrivial solution of Ax = 0 by inspection. [Hint: Think of the equation Ax = 0 written as a vector equation.] - 4 - 12 X= (Type an integer or simplified fraction for each matrix element.)
Solve for X in the equation, given A =[ 0 2 −5] [−4 −3 1] and B = [4 4 2] [1 1 −2] . (a) 3X + 2A = B X = (b) 2A − 5B = 3X X = (c) X − 3A + 2B = O X = (d) 6X − 4A − 3B = O X =
Solve the linear system using an inverse matrix. -4x +5y 12 The inverse of the coefficient matrix A, A 1 is (Simplify your answer. Type an integer or simplified fraction for each matrix element) The solution to the system is x-and y Simplify your answers. Type integers or simplified fractions) Enter your answer in each of the answer boxes
This Question: 4 pts 3 of 30 (0 complete) Find a basis for the eigenspace corresponding to the elgenvalue. A= 6 -3 -2 8 2.2 = 5 6 9 A basis for the eigenspace corresponding to 2 = 5 is } (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed)
A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A 1 15 19 -2-7 1 15 19 0 5 -1 10 16 2 2 0 5 70-1 -2-5-3 49 0 0 01 6 3 25 29-5-11 0 0 00 0 A- Find a basis for Col A (Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.) Find...