Find, if possible, an invertible matrix P and a diago- nal matrix D such that A = PDP-. Otherwise, explain why A is not diagonalizable. 5 1 2 1 4 1 -3 -2 0 -(t - 3)³

Q: The integer n = 12700140x3243243 is missing the digit x. a) If n congruent to  3 (mod 9), then what…

A: According to the given information, Consider the given integer n:

Q: Diagonalize matrix A, i.e., find diagonal D and invertible P such that A = PDP-1, where -[:] 3 2 A =…

A:

Q: If the matrix A is positive symmetric definite, is BTAB also positive symmetric definite?

A: Let us define the function as, A¯=BTAB Then, A¯T=BTABT=BATBT=BABT   [A is symmetric]

Q: _Let A = -3 -1 1 2 -12 0 0 -1 5 If possible, find an invertible matrix P so that D = P-¹AP is a…

A: Let us strat by finding the eigen values of the matrix…

Q: A) Justify if the matrix A is diagonalizable.B) Find a matrix T and a diagonal matrix J, such that…

A:

Q: Show that matrix A 5 1 0 5 cannot be diagonalized by using (λI-A)

A:

Q: If A is an m x n matrix then A' A and A have the same rank. true false

A:

Q: Let A be an invertible 3 by 3 matrix. Assume that PA²P-15ATA². = Then det(A) =

A: Step 1:   Step 2: Step 3: Step 4:

Q: Suppose that A and B are invertible 2 x 2 matrices such that det(AT) = 2 and det(B) = -2. Let x ER…

A:

Q: Let B=(b₁,b₂), C=(C₁,C₂), be bases for R² b₁ = (-5,-3), b₂ =(3,2), C₁=(1,3), C₂ = (1,2) Find the…

A:

Q: Exercise 51. Is there a square matrix X with real entries such that det(X¹X) = -3?

A: detXTX=-3 X is a square matrix with real entries.

Q: Find the general form of the span of the indicated matrices. (Use only x and w as variables in your…

A:

Q: TRUE or FALSE: Every invertible n xn matrix is similar to the identity matrix In.

A: To state true or false given statement.