1. Given the matrix A = 246 0-14 427 find A-1 by transforming A to an Identity matrix (if possible) by using the elementary row operations. Is matrix a singular? explain your answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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1. Given the matrix
24 6
A 0-1 4
4 2 7
find A¯¹ by transforming A to an Identity matrix (if possible) by using the elementary row
operations. Is matrix a singular? explain your answer.
26 6
2. Find the row-echelon form of a matrix B= 0 0 -1
258
= [*0% ]
Find and sketch the image of the points (1,1) (1,4), (3,1) and (3,4) for k
3. The matrix transformation is given by f(v) = Av, where A =
and k is a real number.
=-3
Transcribed Image Text:1. Given the matrix 24 6 A 0-1 4 4 2 7 find A¯¹ by transforming A to an Identity matrix (if possible) by using the elementary row operations. Is matrix a singular? explain your answer. 26 6 2. Find the row-echelon form of a matrix B= 0 0 -1 258 = [*0% ] Find and sketch the image of the points (1,1) (1,4), (3,1) and (3,4) for k 3. The matrix transformation is given by f(v) = Av, where A = and k is a real number. =-3
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