Let B= ((1, 3), (-2,-2)) and 8'= ((-12, 0), (-4, 4)) be bases for R2, and let *-[83] A = be the matrix for T: R2 R2 relative to B. (a) Find the transition matrix P from B' to B. P= (b) Use the matrices P and A to find [v] and [T(v)le, where (vl-[-1 31. [vla [7(V)- 11 p-1 41 11 (c) Find pand A' (the matrix for 7 relative to 8). 41 41 (d) Find [7(vil two ways. (7) [MW) Al- 41 11

Q: a) For invertible matrices A, BE R™×", show that ((AB)")-1 = (A-1)" (B1)". b) Let A, B, C, D e R"*"…

A:

Q: 2)} and 0 4 A = 2 3 . be the matrix for T: R2 → R? relative to (a) Find the transition matrix P

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Let 8 = {(1, 3), (-2,-2)} and 8' = {(-12, 0), (-4, 4)) be bases for R², and let A = - [83] be the…

A:

Q: Let T: R³ → R² be defined by T -~--~--E) ----B]}~~(~-| ||-~ ~[]) Let B = u₁ U3 = { = [3], , = 6 (ED)…

A:

Q: find the standard matrix for the reflection of IR squared about the line that makes an angle of π/4…

A: Consider line that makes an angle of  with positive  axis.To illustrate the standard matrix for…

Q: Ime the given second order equation as its equivalent system of first order equations. u" + 5u' + 7u…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: If A and B are invertible matrices and c is any scalar, then which of the following does not hold?

A: A and B are invertible matrices then  (AB) -1  = B-1 A-1