3 а 2 b P = R = where a, b e R. (a) Find a, b, c, d e R such that RP (b) For u E R, let A = -2 and recall that |A| denotes the determinant of A. Find u E R such that |A| = 3u+5 (c) For A as in part (b), find all u € R such that A is invertible.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following matrices:
3
P =
2
a
-1
R =
4 3
where a, b e R.
(a) Find a, b, c, d e R such that
RP =
(b) For u € R, let
-
A =
-2
and recall that |A| denotes the determinant of A. Find u e R such that |A| = 3u+5.
(c) For A as in part (b), find all u € R such that A is invertible.
Transcribed Image Text:Consider the following matrices: 3 P = 2 a -1 R = 4 3 where a, b e R. (a) Find a, b, c, d e R such that RP = (b) For u € R, let - A = -2 and recall that |A| denotes the determinant of A. Find u e R such that |A| = 3u+5. (c) For A as in part (b), find all u € R such that A is invertible.
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