Matrix  A = a11 a12 a21 a22 a31 a32 B =  b1 b2 C = c1 c2 c3     Find C*A. Find C*B.

Identify a matrix P that diagonalizes 2 6 A = a. P = Ob. P = -1 0 0 2 Oc. P = 1 2 01 O d. -2 P =

Enter the matrix B: Enter the matrix C:

4 Fill in each matrix for diagonalization of the matrix A = A- PDP-1 2 310 Ex: 5 1 1 6

Consider the matrix A = Calculate a22 8 5 d - ( ) - ( 2 ) 766 b fa 4 6 8 h с e Calculate 932 =

d) Consider the following matrices: 1 -3 A = 2 -4 and B- Find: i) A- ii) (2AB) - 2.

Solve for C1, C3, C4, C5, & C6 without using matrix. Show the solution. C1-C3=1035.180 11C5+C6=-27829.395 6C1-6C3+C4=3346.704 C3-C5=2025 9C3+C4-9C5-C6=12149.514

Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3 respectively for th 1-3 2 +633- A = 1 3-1 b = Need Help? Read It b = Watch It

Find the change of coordinates matrix, P, from C to B if B = {b₁,b₂), C = {c₁, c₂), b₁ = (7,-2), b₂ = (2, -1), c₁ = (4,1), c2 = (5,2) O P = [a₁ a₂], a₁ = (3,-2), a₂ = (8,-5) O P = [a₁ a₂], a₁ = (8,-5), a2 = (3,-2) ○ P = [a₁ a₂], a₁ = (2,-5), a₂ = (3,-8) OP [a1 a2], a₁ = = (3,-8), a2 = (2,-5) O P = [a₁ a₂], a₁ = (-3,2), a₂ = (-8, 5)

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