Let A and B be 3 x3 matrices, with det A = 2 and det B = 6. Use properties of determinants to complete parts (a) through (e) below. a. Compute det AB. det AB = (Type an integer or a fraction.) b. Compute det 5A. det 5A = (Type an integer or a fraction.) c. Compute det B". det B" (Type an integer or a fraction.) d. Compute det A-1. det A (Type an integer or a simplified fraction.) e. Compute det A. 3 det A° = (Type an integer or a fraction.)
Let A and B be 3 x3 matrices, with det A = 2 and det B = 6. Use properties of determinants to complete parts (a) through (e) below. a. Compute det AB. det AB = (Type an integer or a fraction.) b. Compute det 5A. det 5A = (Type an integer or a fraction.) c. Compute det B". det B" (Type an integer or a fraction.) d. Compute det A-1. det A (Type an integer or a simplified fraction.) e. Compute det A. 3 det A° = (Type an integer or a fraction.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let A and B be 3 x3 matrices, with det A = 2 and det B = 6. Use properties of determinants to complete parts (a) through (e) below.
a. Compute det AB.
det AB =
(Type an integer or a fraction.)
b. Compute det 5A.
det 5A =
(Type an integer or a fraction.)
c. Compute det B".
det B"
(Type an integer or a fraction.)
d. Compute det A-1.
det A
(Type an integer or a simplified fraction.)
e. Compute det A.
3
det A° = (Type an integer or a fraction.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33d1b54b-5ad7-47f0-bdad-cbb23fbe6ef6%2Fd3b79700-47f5-4564-9799-215a9bfe7b3f%2F4es11j6_processed.png&w=3840&q=75)
Transcribed Image Text:Let A and B be 3 x3 matrices, with det A = 2 and det B = 6. Use properties of determinants to complete parts (a) through (e) below.
a. Compute det AB.
det AB =
(Type an integer or a fraction.)
b. Compute det 5A.
det 5A =
(Type an integer or a fraction.)
c. Compute det B".
det B"
(Type an integer or a fraction.)
d. Compute det A-1.
det A
(Type an integer or a simplified fraction.)
e. Compute det A.
3
det A° = (Type an integer or a fraction.)
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