3. Let det(A) = 3 and det B = –2. Find the indicated determinants: (a) det(AB) (b) det(B-1A) (c) det(AAT) (d) det(3BT)
If A, B are 3 x 3 matrices such that det(AB-1) = 12 and det(A) = 4. Find 1) det(B) 2) det(AT. (3B)-1) 3) If A? + AB = { 1, find det(A + B)
Exercice 2. Let A given by -(iii) 21 A 1 -2 01 -2 1. Compate det( A) and ine.A) in MATLAB 2Use MATLAB to cheek boy coanpating ine(4)-A and A-inA) 3. Create two 5 x 5 matrices A and B with random entries between -30 and 20 by typing A-round(40 (rand3)-3) Bu40 (rands)-0. We will use these matrices to tind relationship between determinants Use MATLAB to fill the belom table det det (A det(A+B) (A) + det(B) det(AB) det(A det...
[4 points Suppose A, B, and Care 5 x 5 matrices with det(A) = -2, det(B) = 10 and the columns of C are linearly dependent. Find the following or state that there is not enough information: (a) det(10B-) (b) det(AB) (c) det(CA+CB)
(1 point) If A and B are 3 x 3 matrices, det(A) = -5, det(B) = 9, then det(AB) = det(-2A) = det(AT) = det(B-1) = det(B3) =
X and Y are n x n matrices and det X^T = 3 and B^-1 = 2 T F det(X^2 Y^2 (X^-1)^T) = 12 T F detX/(detY^T) = 6 T F det(X^3 Y) = 27/2 T F det(X^-1 Y^2 X ^T) = -4 T F det(X^-1 B^T) = 6 T F det(XY) = 3/2
if\ d=\begin{bmatrix}1&2&x+1\\1&x&3\\1&3&3\end{bmatrix}and\ f\ =\begin{bmatrix}1&1&1\\2&3&x\\4&9&x^2\end{bmatrix}find\ all\ values\ for\ which\ \det \ \left(Df\right)=0
Problem 2. (50 points) Suppose that a 4 x 4 matrix A with rows it. 73, 74, and has determinant det A = 1. Find the following determinants: ☺ U2 ü det 604 det det A +50 Note: You can earn partial creat on this problem Problem 1. (50 points) Let Rem -5 -20 -1 -1 - 1 4 16 0 الها (a) Compute dexA Use Cramer's rule to solve the following system 20x -5x -X -4 3 + 16x9...
1. (10 points) Let A and B be 3 x 3 matrices, with det A = -3 and det B = 2. Compute (a) det AB (6) det B4 (c) det 3B (d) det A"B" AT (e) det B-AB
(1 point) If det b 1 3 and det b 2 e 3 then a 5 det|b 5 el=15 and c 5 f c 8 f (1 point) If det b 1 3 and det b 2 e 3 then a 5 det|b 5 el=15 and c 5 f c 8 f