6. [s] Address the following questions about matrix determinants. F [30 -1 (a) Let Ad 1 3 m 2 3 Find the determinant of A using any method, then say if A is invertible. Please show sufficient work so that I can give you partial credit in case you make mistakes. (b) Let B be an n x n matrix so that det B = 3. Suppose a matrix C is achieved by starting with matrix B, swapping two rows, and then scaling a row by 5. What is the determinant of C? (c) Let B and D be n x n matrices so that det B determinant of E? = 3 and det D = -10. If E = BD, what is the
6. [s] Address the following questions about matrix determinants. F [30 -1 (a) Let Ad 1 3 m 2 3 Find the determinant of A using any method, then say if A is invertible. Please show sufficient work so that I can give you partial credit in case you make mistakes. (b) Let B be an n x n matrix so that det B = 3. Suppose a matrix C is achieved by starting with matrix B, swapping two rows, and then scaling a row by 5. What is the determinant of C? (c) Let B and D be n x n matrices so that det B determinant of E? = 3 and det D = -10. If E = BD, what is the
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
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![6. [s] Address the following questions about matrix determinants.
F
[30 -1
(a) Let Ad 1 3
m 2 3
Find the determinant of A using any method, then say if A is invertible.
Please show sufficient work so that I can give you partial credit in case you make mistakes.
(b) Let B be an n x n matrix so that det B = 3. Suppose a matrix C is achieved by starting with
matrix B, swapping two rows, and then scaling a row by 5. What is the determinant of C?
(c) Let B and D be n x n matrices so that det B
determinant of E?
=
3 and det D = -10. If E = BD, what is the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29b372ab-06c3-4503-a396-8433d0a69da7%2Fcf6f3443-3a6b-48f4-8ca5-88247672fe98%2Fjx29ft9i_processed.png&w=3840&q=75)
Transcribed Image Text:6. [s] Address the following questions about matrix determinants.
F
[30 -1
(a) Let Ad 1 3
m 2 3
Find the determinant of A using any method, then say if A is invertible.
Please show sufficient work so that I can give you partial credit in case you make mistakes.
(b) Let B be an n x n matrix so that det B = 3. Suppose a matrix C is achieved by starting with
matrix B, swapping two rows, and then scaling a row by 5. What is the determinant of C?
(c) Let B and D be n x n matrices so that det B
determinant of E?
=
3 and det D = -10. If E = BD, what is the
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