1 2 0 1 10. Let A = 2 3 1 1 3 5 1 2 (a). Find the reduced row echelon form of A. (b). Using the answer for (a), find rank(A), and find a basis for Col(A). (c). Using the answer for (a), find a basis for Nul(A).
[1 2 0 1] 10. Let A 2 3 1 1 13 5 1 2 (a). Find the reduced row echelon form of A. (b). Using the answer for (a), find rank(A), and find a basis for Col(A). 11. Let A= Find a matrix P such that P-1AP is a diagonal matrix,
Question 3. (20 pts) Let A= -3 9-27 2 -6 4 8 3 -9 -2 2 Find a basis for Col(A) and a basis for Nul(A). Question 4. (15 pts) Let the matrix A be the same as in Question 3. (1). Find the rank of A. (2). Find the dimensions of Nul(A) and Col(A). (3). How do the dimensions of Nul(A) and Col(A) relate to the number of columns of A?
SOLVE A, B AND C!! [1 2 0 1] 10. Let A = 2 3 1 1 |3.5 1 2 (a). Find the reduced row echelon form of A. (b). Using the answer for (a), find rank(A), and find a basis for Col(A). (c). Using the answer for (a), find a basis for Nul(A).
+ Question Details 2 1 , and A = | V1 V2 V3 | . Is p in Nul A? Let v,-| 0 2 Yes, p is in Nul A No, p is not in Nul A 5.+ Question Details 2 2 10 2 1 0 30 0 2 41 4 2 16 3 Let A so that an echelon form of A is given by . Find a basis for Col A 1 0 3 1 0 0 0...
1 2 0 42 3 40 -80 64 48 -288 40 13 26 21-15 94-13) and 5 10 8-6 365 2 4 0 8 -6 -10 0 13 2-1 3·Let A = C 4 8 3 25 -2 9 5 1 42 3-1 9 10 22846-2 18 4 -4 3 21 3 2 334 15 26-2 14 5 48 -2 -10 -2 8 -8 814 16 28-23 148 36-6 56 (a) Find a basis for Nul (A)nNul (C) (b) Find...
4 1 1. The matrix A and it reduced echelon form B are given below. 1-2 95 4 10 3 0 0 1 -1 6 5 3 0 1 -3 0 -7 -2 0 -6 1 -2 0 0 0 1 -2 91-9 0 0 0 0 0 (a) Find p, q, rs. Nul A, Col A, Row A is a subspace of R", R9, R', respectively Answer. p = 9=- (b) Find a basis for Nul A (c) Find...
1. The matrix A and it reduced echelon form B are given below. 1-2 95 4 [1 0 3 0 0 1 -1 6 5 -3 A= 0 1 -3 0 -7 -B= -2 0 -6 1 -2 0 0 0 1 -2 4 9 -9 0 0 0 0 0 (a) Find p, q, rs. Nul A, Col A, Row A is a subspace of R”, R9, R", respectively Answer.p = 9. r = (b) Find a basis for...
1 2 -3 1 -6 -2 5 2. 4. (10 points) Let A = (a) (5 points) Find a basis for col(A) and calculate rank(A). (b) (5 points) Find a basis for null(A) and calculate nullity(A).
4 1 1. The matrix A and it reduced echelon form B are given below. 1-2 95 4 10 3 0 0 1 -1 6 5 3 0 1 -3 0 -7 -2 0 -6 1 -2 0 0 0 1 -2 9 1-9 0 0 0 0 0 (a) Find p, q, r s t Nul A, Col A, Row A is a subspace of RP, R9, R', respectively Answer. p = 9= (b) Find a basis for Nul...