Determine all values of the parameters x and y such that the vector 1 s in the range of the above matrix A. ||

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 64CR: a Find a symmetric matrix B such that B2=A for A=[2112] b Generalize the result of part a by proving...
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As fast as possible please! Problem 4. Solve the task beginning from word "Determine.."

Consider the matrix
3
1
1
1
A =
4
2
1
1 -1 1
Find a basis for the range R(A) of A.
Find a basis for the null space N(A) of the matrix A given above.
Determine all values of the parameters r and y such that the vector
b=
1
is in the range of the above matrix A.
Transcribed Image Text:Consider the matrix 3 1 1 1 A = 4 2 1 1 -1 1 Find a basis for the range R(A) of A. Find a basis for the null space N(A) of the matrix A given above. Determine all values of the parameters r and y such that the vector b= 1 is in the range of the above matrix A.
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