Question

Explore the effects of an elementary row operation on the determinant of a matrix. State the...

Explore the effects of an elementary row operation on the determinant of a matrix. State the row operation and describe how it affects the determinant.

What is the elementary row​ operation?

How does the row operation affect the​ determinant?

−4

6

−5

1

1

1

3

−2

3

−4

6

−5

k

k

k

3

−2

3

  

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Compute the determinant of the following matrix using row reduction: | 14 -6 0 -1 |...
Compute the determinant of the following matrix using row reduction: | 14 -6 0 -1 | | -37 17 -2 5 | | 25 -11 1 -4 | | -5 2 0 1 |
Use elementary row or column operations to evaluate the following determinant. You may use a calculator...
Use elementary row or column operations to evaluate the following determinant. You may use a calculator to do the multiplications. 1   -5     -9     2     -5 2   -19     -20     3     -11 2   -20     -16     4     -12 0   16     5     3     0 0   18     11     11     2
a).For the reduction of matrix determine the elementary matrices corresponding to each operation. M= 1 0...
a).For the reduction of matrix determine the elementary matrices corresponding to each operation. M= 1 0 2 1 5    1 1 5 2 7 1 2 8 4 12 b). Calculate the product P of these elementary matrices and verify that PM is the end result.
Apply the row operation R1 + 2R3 → R1 on the following matrix:   2...
Apply the row operation R1 + 2R3 → R1 on the following matrix:   2 −3 1 4 2 0 6 −5 1 −1 1 0   −→ (h) True or False: The point (2, 1) is in the following feasible region: x + 2y ≤ 5, 5x − 6y < 7, and x ≥ 0, y ≥ 0. (i) True or False: (x = −1, y = 2, z = 3) is a solution to the following...
Q2. Answer this question by hand. Consider the matrix matrix A = 2 6 6 7...
Q2. Answer this question by hand. Consider the matrix matrix A = 2 6 6 7 Determine the eigenvalues and normalized eigenvectors of A Compare the trace of A to the sum of the eigenvalues of A. Compare the determinant of A to the product of the eigenvalues of A. Find A−1 using elementary row operations. Be sure to indicate the elementary row operation used at each step of your calculation. Apply the formula A-1 = adj(A) = to obtain...
(1) Write down a 3 × 3 matrix, call it A, which is not triangular (upper...
(1) Write down a 3 × 3 matrix, call it A, which is not triangular (upper or lower) with nonzero deter- minant. (2) By performing one row operation, change your matrix A into a matrix B which has determinant 4. (If your matrix A already has determinant 4, change it to one with determinant 5.) (3) Compute AB and give the determinant of AB.
Compute the determinant using a cofactor expansion across the first row. Also compute the determinant by...
Compute the determinant using a cofactor expansion across the first row. Also compute the determinant by a cofactor expansion down the second column. |2 0 3 |2 4 3 |0 5 -1
1.Find the matrix product. 2  1  5 1 5  5  3 −5 5 2. Carry out the row operation on...
1.Find the matrix product. 2  1  5 1 5  5  3 −5 5 2. Carry out the row operation on the matrix. 1 5 R2 → R2  on    2   −3      −42 0   5      100
Compute the determinant of the following matrix by first putting the matrix in reduced echelon form:...
Compute the determinant of the following matrix by first putting the matrix in reduced echelon form: [2 1 -1 0 3 1 0 2 4 -2 4 -2 0 5 1 3 -3 2 1 7 -2 1 0 -3 5]
Let A be a 2x2 matrix and suppose that det(A)=3. For each of the following row...
Let A be a 2x2 matrix and suppose that det(A)=3. For each of the following row operations, determine the value of det(B), where B is the matrix obtained by applying that row operation to A. a) Multiply row 1 by -4 b) Add 4 times row 2 to row 1 c) Interchange rows 2 and 1 Resulting values for det(B): a) det(B) = b) det(B) = c) det(B) =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT