For the following.problems, you need to provide a clear and detailed solution. -s): Consider the 3 x 3 matrix 2 -1 | A = 0 where x is an unknown scalar. -X 2 -1 (a, ı. ) Find the unknow x if it is given that 4 1 A? -3 -3 4 -2 (b). --) Find the determinant of A? II

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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For the following.problems, you need to provide a clear and
detailed solution.
-s): Consider the 3 x 3 matrix
-1
A =
0 where x is an unknown scalar.
-X
2
-1
(aj i.
) Find the unknow x if it is given that
4
1
A?
-3
-3 4
-2
(b)..
--) Find the determinant of A?
-) If A and B are 3 x 3 such that det A = 3
and det B = 2
(a) .-) Find, if possible, the value of det(A? B-3).
*) Find, if possible, the value of det(A2T B-3T).
(b).
s) Let A be a nonsingular matrix, consider the
8
2
matrices A-
-6 4
10
%3D
1
5
(a) -
:) Find the determinant of A.
(b)
:) Find the matrix A, if exists using the determinant of
A.
II
Transcribed Image Text:For the following.problems, you need to provide a clear and detailed solution. -s): Consider the 3 x 3 matrix -1 A = 0 where x is an unknown scalar. -X 2 -1 (aj i. ) Find the unknow x if it is given that 4 1 A? -3 -3 4 -2 (b).. --) Find the determinant of A? -) If A and B are 3 x 3 such that det A = 3 and det B = 2 (a) .-) Find, if possible, the value of det(A? B-3). *) Find, if possible, the value of det(A2T B-3T). (b). s) Let A be a nonsingular matrix, consider the 8 2 matrices A- -6 4 10 %3D 1 5 (a) - :) Find the determinant of A. (b) :) Find the matrix A, if exists using the determinant of A. II
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