Let A and B be 3x3 matrices, with det A= -4 and det B= -8. 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.) %3D -1 d. Compute det A - 1 det A'=(Type an integer or a simplified fraction.) e. Compute det A. det A =(Type an integer or a fraction.) %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Let A and B be 3x3 matrices, with det A= - 4 and det B= -8. Use properties of determinants to complete parts (a) through (e) below.
%3D
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.)
Transcribed Image Text:Let A and B be 3x3 matrices, with det A= - 4 and det B= -8. Use properties of determinants to complete parts (a) through (e) below. %3D 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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