(a) Find the determinant of each of the following matrices: 2 0 0 0 1 30 0 -1 1 7 0 -3 25 1 1 1 a () -4 b 4 (ii) 0 0 (b) Suppose that C is a 6 x 6-matrix with |C| = 3. Find (i) |CTC®| (ii) |2C|].

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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3. (a) Find the determinant of each of the following matrices:
2 0 0 0
1 1 a
(i) -4 b 4
0 0
1 30 0
(ii)
-1 1 7 0
-3 25 1
(b) Suppose that C is a 6 x 6-matrix with |C| = 3. Find
(1) |C"C®|
(i) |2C|.
Transcribed Image Text:3. (a) Find the determinant of each of the following matrices: 2 0 0 0 1 1 a (i) -4 b 4 0 0 1 30 0 (ii) -1 1 7 0 -3 25 1 (b) Suppose that C is a 6 x 6-matrix with |C| = 3. Find (1) |C"C®| (i) |2C|.
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