Question

SOLVE ANY

(2.b) Pts 15 Suppose A' is any matrix whe row reduced echelon form A Show there is a matris D' Mn a wuch thnt A iDMa such that A I Question 3: The matrix condition B2B Ps 30: In this problen B is n (3.a) Pts 10: If a is an eigenvector for B, what is the attached eigenvalue (3. b) Pts 10: Irge R", why is BU) perpendieular to Bur square, n x n, smmetric matris satisfying H'aB. Denote its range by Rr ¡f it is not 0? Pts 10: For any subspace V C R-define (3e) RB? Why is any eRn the sum of a vector in RB and a vector in Question 4: Null space of a matrix: Pts 35: Consider 1 3 0 2 0 4 A1o 0 0 0 1 3 e M4,6 (4.a) Pts 10: Give three vectors in Rs that span the null space of A Pts 10: Suppose the null space of a matrix A2 M4,6 equals the nullspace of A1. Consider (4.b) NA S AISL E Ms4 and invertible). Show Az is in Na, by finding St with St Ai ENA, equal to A2.4 Pts 10: Answer these two questions about other choices of SL (4.c) Pts 5: Why does the choice of as, not affect the result of St Ai? - Choice Hint: use result C2. Hint: Use spanning vectors of the range of A2 to give columns of S..

Answer 1

O, O, O, 0