Consider the matrix 1 5 0 A=2 11 0 k 5k+5 k-1 and let R be its reduced row-echelon form. (a) The matrix A is invertible if k + In fact, for= = R = Fork # then R = = (b) For all the values of that makes A invertible then A-1 then
Consider the matrix 1 5 0 A=2 11 0 k 5k+5 k-1 and let R be its reduced row-echelon form. (a) The matrix A is invertible if k + In fact, for= = R = Fork # then R = = (b) For all the values of that makes A invertible then A-1 then
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 83E: Explain the difference between the row-echelon form and the reduced row-echelon form of a matrix.
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![Consider the matrix
1
5
0
A=2
11
0
k
5k+5 k-1
and let R be its reduced row-echelon form.
(a) The matrix A is invertible if k +
In fact, for=
=
R =
Fork #
then
R =
=
(b) For all the values of that makes A invertible then
A-1
then](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7634a6a-5ecc-40e2-9892-46ba7a4cefd4%2F58798d5b-0d06-4636-a0ec-a020d4892117%2F3f225pf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the matrix
1
5
0
A=2
11
0
k
5k+5 k-1
and let R be its reduced row-echelon form.
(a) The matrix A is invertible if k +
In fact, for=
=
R =
Fork #
then
R =
=
(b) For all the values of that makes A invertible then
A-1
then
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