Question

Let A and B be 3x3 matricies, with det A = 9 and deb B =...

Let A and B be 3x3 matricies, with det A = 9 and deb B = 6. Use properties of determinants to complete the parts below.

1. Compute det AB

2. Compute det 5A

3. Compute det Bt

4. Compute det A-1

5. Compute det A3

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let A and B be 3x3 matrices with det(A) = 2 and det(B) = -3. Find...
Let A and B be 3x3 matrices with det(A) = 2 and det(B) = -3. Find a. det(AB) show all steps. b. det(2B) show all steps. c. det(AB^-1) show all steps. d. det(2AB) show all steps.
Let A,B ∈ M3(R) with |A| = 4 and |B| = −3. Evaluate (a) |AB|, (b)...
Let A,B ∈ M3(R) with |A| = 4 and |B| = −3. Evaluate (a) |AB|, (b) |5A|, (c) |BT|, (d) |A−1|, (e) |A3|, (f) |ATA|, (g) |B−1AB|.
Let A and B be 6×6 matrices such that det(A)= 3 and det(B)=2 What is det(−2AT?-1)?...
Let A and B be 6×6 matrices such that det(A)= 3 and det(B)=2 What is det(−2AT?-1)? Justify your answer.
If A, B, and C are 4x4 matrices; and det(A) = 1, det(B) = -5, and...
If A, B, and C are 4x4 matrices; and det(A) = 1, det(B) = -5, and det(C) = -3, then compute: det(4B3A-1C-1A-1B2) = ____
True or False 1.) det(A-B) = det(A) - det(B) 2.) det(cA) = c*det(A) 3.)det(ABT)=det(ATB) 4.)det(A-B)=0 implies...
True or False 1.) det(A-B) = det(A) - det(B) 2.) det(cA) = c*det(A) 3.)det(ABT)=det(ATB) 4.)det(A-B)=0 implies A=B
Let ?? be the path with ? edges and ?? (?) be the characteristic polynomial of...
Let ?? be the path with ? edges and ?? (?) be the characteristic polynomial of ??; recall that ?? (?) = det(? − ??) where ? is the adjacency matrix of ??. Use properties of determinants of adjacency matrices to show that for ? ≥ 3, ?? (?) = −? ??−1 (?) − ??−2 (?). It is acceptable to examine a generic adjacency matrix ? for a path and expand det(? − ??) along the first row.
In what follows, A and B denote 2 x 2 matrices. Answer each question below, with...
In what follows, A and B denote 2 x 2 matrices. Answer each question below, with justification. No one answer should be more than a few lines long. A1. If k is a scalar, how does the determinant of kA relate to the determinant of A? A2. Show that the determinant of A + B is not necessarily the same as det A + det B. (Remark: a single specific counterexample suffices!) A3. If A is singular and B is...
Let a1 = [ 7 2 -1 ] a2 =[ -1 2 3 ] a3= [...
Let a1 = [ 7 2 -1 ] a2 =[ -1 2 3 ] a3= [ 6 4 9 ] a.)determine whether a1 a2 and a3span R3 b.) is a3 in the Span {a1, a2}?
Let B = {1 - 3x2 + 2x3, x + 2x2 - 3x3, 1 - 3x...
Let B = {1 - 3x2 + 2x3, x + 2x2 - 3x3, 1 - 3x - 8x2 + 7x3, 2 + x - 5x2 + 6x3} be the set of vectors in P3             a) Show that the set B a basis for P3? Justify.   b) Use the basis in part (a) to find the coordinate vector of f = -1 - 3x - 5x2 + 11x3 . Please show all work.
I) Use MATLAB to compute the determinants of the following two matrices.   (Use format rat) P                         &
I) Use MATLAB to compute the determinants of the following two matrices.   (Use format rat) P                                         Q 5 0 0 0 -1 -1 1 1 13 2 0 0 2 0 1 3 -6 4 -1 0 2 -1 1 2 10 0 3 -2 1 0 3 3 II) The determinant of P could be computed without MATLAB. What general fact could have been used to do this? III) Use MATLAB to compute the matrix R= PQ and also...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT