Let A and B be 3x3 matrices, with det A = 7 and det B = 4. 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'.
Let A and B be 3x3 matrices, with det A = 7 and det B = 4. 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'.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 32E
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![Let A and B be 3x3 matrices, with det A = 7 and det B = 4. 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 A1.
det A = (Type an integer or a simplified fraction.)
e. Compute det A°.
det A° = (Type an integer or a fraction.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8700fa5c-0cb9-46f9-817d-473369b2beec%2Fc007ae51-de30-4ff5-a867-f68bce0c6c53%2Fr86tpgu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A and B be 3x3 matrices, with det A = 7 and det B = 4. 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 A1.
det A = (Type an integer or a simplified fraction.)
e. Compute det A°.
det A° = (Type an integer or a fraction.)
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