and that C is a 4 x 4 matrix with det(C) = -4. If it is...

Question

Question

Answer 1

Answer #1

Answer 2

Similar Homework Help Questions

(3 points) Let A be a 4 x 4 matrix with det(A) = 8. 1. If...

(3 points) Let A be a 4 x 4 matrix with det(A) = 8. 1. If the matrix B is obtained from mes the second row to the first, then det(B) = 2. If the matrix C is obtained from A by swapping the first and second rows , then det(C) = 3. If the matrix D is obtained from A by multiplying the first row by 5, then det(D) =
2 invertible? C For which values of c is the matrix 8 O c 4 c...

2 invertible? C For which values of c is the matrix 8 O c 4 c =-4 Both of the above, i.e., c +4 Neither of the above, i.e., c +4. Suppose that the following row operations: interchange rows 1 and 3 multiply row 3 by 1/2 add -3 times row 1 to row 2 2 1 7 in this order, transform a matrix A into B = | 0 4-5 L0 0 3 What is the determinant of A?...
(10 pts) If the determinant of a 5 x 5 matrix A is det (A) =...

(10 pts) If the determinant of a 5 x 5 matrix A is det (A) = 8, and the matrix B is obtained from A by multiplying the second column by 9, then det (B) =

(a) A is a 4 X4 matrix and 5(A + 1) = 1. Enter det (A...

(a) A is a 4 X4 matrix and 5(A + 1) = 1. Enter det (A + 1). (b) A is a 3 x3 matrix and -A +61 = 0. Enter det (A + 1). (c) A is a 2 X2 matrix and A2 + 2 A – 35 I = 0. If det (A + I)> 0, enter det (A + I).
4. Let A and B be 4 x 4 matrices. Suppose det A= 4 and det(AB)...

4. Let A and B be 4 x 4 matrices. Suppose det A= 4 and det(AB) = 20. (a) (4 points) What is det B? (b) (4 points) Is B invertible? Why or why not? (c) (4 points) What is det(AT)? (d) (4 points) What is det(A-1)? 5. (6 points) Let A be an n x n invertible matrix. Use complete sentences to explain why the columns of AT are linearly independent. [2] and us 6. (6 points) Let vi...
Let A be an 3 x 3 matrix with the characteristic equation det(113 - A) =...

Let A be an 3 x 3 matrix with the characteristic equation det(113 - A) = 13+ 12 – 22. Which of the following is not an eigenvalue of A? Select one: O a. 2 O b. 0 O c. 1 O d.-2

Problem 2. (50 points) Suppose that a 4 x 4 matrix A with rows it. 73,...

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...
Q1. Suppose that A is an n x n invertible matrix. (a) Show that det(A-1) =...

Q1. Suppose that A is an n x n invertible matrix. (a) Show that det(A-1) = (det(A))-. (b) Show that det(APA-1) = det(P) for any n x n matrix P.
[4 points Suppose A, B, and Care 5 x 5 matrices with det(A) = -2, det(B)...

[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)

Find the eigenvalues of the given matrix. [-14 -6 36 16 1) A) -2.-4 B)-4 C)-2...

Find the eigenvalues of the given matrix. [-14 -6 36 16 1) A) -2.-4 B)-4 C)-2 D) -24 The characteristic polynomial of a 5 5 matrix is given below. Find the eigenvalues and their multiplicities 2) A5 - 24A4-189A3-486A2 2) A) 0 (multiplicity 2),-9 (multiplicity 2),-6 (multiplicity 1) B) 0 (multiplicity 1),9 (multiplicity 3), 6 (multiplicity ) C) 0 (multiplicity 2),9 (multiplicity 2),6 (multiplicity 1) D) 0 (multiplicity 2),-9 (multiplicity 2),6 (multiplicity 1) Diagonalize A- PDP-1 the matrix A, if...