8 1. If the matrix 4 x 01 0 2 is singular find the value of x. L12 6 0 r1 2 2+27

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.2: Multiplicative Inverses
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MATTU UNIVERSITY
COLLEGE OF NATURAL AND COMPUTATINAL SCIENCE
DEPARTMENT OF MATHEMATICS ASSIGNEMENT OF LINEAR ALGEBRA I FOR
STATISTICS REGULAR STUDENTS.
INSTRUCTION I: Show all necessary steps to the following questions neatly and clearly
8 X 07
1. If the matrix 4
0 2 is singular find the value of x.
L12 6 0.
[1 3
4
2. If the matrix 2
2+21
8
is singular, then à equals
3 5
10
3. The determinant of A is 5 and the determinant of matrix B is 40. The determinant of
matrix AB is
---
and T
=
4. Let T: R² R³ be linear transformation such that 7
a. Find the matrix representation of T(with respect to standard basis for R².
b. Determine the rank and nullity of T.
[2 -3 01
5. Find all Eigen values and Eigen corresponding vectors for the matrix A if 2 -5 0
Lo 0 31
Comesponding eigen velfors
Transcribed Image Text:MATTU UNIVERSITY COLLEGE OF NATURAL AND COMPUTATINAL SCIENCE DEPARTMENT OF MATHEMATICS ASSIGNEMENT OF LINEAR ALGEBRA I FOR STATISTICS REGULAR STUDENTS. INSTRUCTION I: Show all necessary steps to the following questions neatly and clearly 8 X 07 1. If the matrix 4 0 2 is singular find the value of x. L12 6 0. [1 3 4 2. If the matrix 2 2+21 8 is singular, then à equals 3 5 10 3. The determinant of A is 5 and the determinant of matrix B is 40. The determinant of matrix AB is --- and T = 4. Let T: R² R³ be linear transformation such that 7 a. Find the matrix representation of T(with respect to standard basis for R². b. Determine the rank and nullity of T. [2 -3 01 5. Find all Eigen values and Eigen corresponding vectors for the matrix A if 2 -5 0 Lo 0 31 Comesponding eigen velfors
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