4 and 5 please Linear algebra matrices Let A=[[-(5)/(3),(5)/(3)],[(10)/(3),-(1)/(3)],[(10)/(3),(8)/(3)]] Find Q and R so that (a) A=QR (b) The columns of Q are an orthnormal set of vectors (c) R is an upper triangular matrix with non-negative entries on its main diagonal. Find a matrix for orthogonal projection onto the column space of A. Of all

Question

4 and 5 please Linear algebra matrices Let

A=[[-(5)/(3),(5)/(3)],[(10)/(3),-(1)/(3)],[(10)/(3),(8)/(3)]]

Find

Q

and

R

so that (a)

A=QR

(b) The columns of

Q

are an orthnormal set of vectors (c)

R

is an upper triangular matrix with non-negative entries on its main diagonal. Find a matrix for orthogonal projection onto the column space of A. Of all the vectors in

ColA

which is closest to

b=[[1],[2],[3]]

? Find all the least squares solutions of

Ax=b

. How do you know you found them all? Describe (briefly!) how to find a vector of norm 1 that is perpendicular to every vector in

ColA

. You don't need to actually find the vector!

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Expert Answer to - 4 and 5 please  Linear algebra matrices   Let A=[[-(5)/(3),(5)/(3)],[(10)/(3),-(1)/(3)],[(10)/(3),(8

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Solution for - 4 and 5 please  Linear algebra matrices   Let A=[[-(5)/(3),(5)/(3)],[(10)/(3),-(1)/(3)],[(10)/(3),(8

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This an additional answer to - 4 and 5 please  Linear algebra matrices   Let A=[[-(5)/(3),(5)/(3)],[(10)/(3),-(1)/(3)],[(10)/(3),(8

(Solved): 4 and 5 please Linear algebra matrices Let A=[[-(5)/(3),(5)/(3)],[(10)/(3),-(1)/(3)],[(10)/(3),(8 ...

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