Homework Answers
1 3 -2 -5 2 11 1. Let A= 3 9 -5 -13 6 3 1...
1 3 -2 -5 2 11 1. Let A= 3 9 -5 -13 6 3 1 -2 -6 8 18 -1 -1 (a) Find a basis for the row space of A, i.e. Row(A). (b) Find a basis for the column space of A, i.e. Col(A). (c) Find a basis for the null space of A, i.e. Null(A). (d) Determine rankA and dim(Null(A)).
2 3 -6 9 0 1 -2 0 3. Let A= 2 -4 7 2 The...
2 3 -6 9 0 1 -2 0 3. Let A= 2 -4 7 2 The RREF of A iso 0 1 3 -6 6 -6 0 0 0 (a) (6 points) Find a basis for Col A, the column space of A. 0 (b) (2 points) What is rank A? (c) (6 points) Find a basis for Null A, the null space of A. (d) (2 points) What is the dimension of the null space of A?
1. Find a basis for the null space and row space of 1-13 (a) A 5-4 -4 7 -6 2 2 0 3 (b) A544 7 -6 2
1. Find a basis for the null space and row space of 1-13 (a) A 5-4 -4 7 -6 2 2 0 3 (b) A544 7 -6 2
1. Find a basis for the null space and row space of 1-13 (a) A 5-4 -4 7 -6 2 2 0 3 (b) A544 7 -6 2
I Let A = 2 4 20 -2-5 7 3 -37-86 suppose it is found that...
I Let A = 2 4 20 -2-5 7 3 -37-86 suppose it is found that the RREF of A is [ 109.17 01-54 -oooo find a basis for the hull spare of A find a basis for the column space of A find a basis for the Row space of A
1. 2. 3. 4. 5. Given that B = {[1 7 3], [ – 2 –7...
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Given that B = {[1 7 3], [ – 2 –7 – 3), [6 23 10]} is a basis of R' and C = {[1 0 0], [-4 1 -2], [-2 1 - 1]} is another basis for R! find the transition matrix that converts coordinates with respect to base B to coordinates with respect to base C. Preview Find a single matrix for the transformation that is equivalent to doing the following four transformations...
2) Let (1 3 15 7 -20 A= 2 4 22 8 3 1 2 7...
2) Let (1 3 15 7 -20 A= 2 4 22 8 3 1 2 7 34 17 -1 3 be given (a)( 10 pts.) Find the reduced echelon form of A. (b)(5 pts.) Find a basis for the Row(A). (c)( 5 pts.) Find a basis for the Col(A). (d) (5 pts.) Find a basis for the Null(A). (e)( 5 pts.) What are the rank and nullity of A?
Linear Algebra. Question 11. Thanks for helping! 2 3 -2 -4 64 46 4 5 -4 9 2 -4 4 5 M-3 6 6 -4 Given -2 -4 491 & 11- Find basis for row space ofM, &M2 R(M)&R(M2) N(M)& N(M2) Find b...
Linear Algebra. Question 11. Thanks for helping!
2 3 -2 -4 64 46 4 5 -4 9 2 -4 4 5 M-3 6 6 -4 Given -2 -4 491 & 11- Find basis for row space ofM, &M2 R(M)&R(M2) N(M)& N(M2) Find basis for Nullity ofM,&M, Show that R(M)&RM) are orthogonal N(M)&N(M;) Show that the column space of M, is the same as row space ofM Show that the column space of Mi Is orthogonal to Nullity ofM What is...
(2 points) Let 4- -1 01 1 1-1 0-2]. Find orthonormal bases of the kernel, row...
(2 points) Let 4- -1 01 1 1-1 0-2]. Find orthonormal bases of the kernel, row space, and image (column space) of A (b) Basis of the row space: (c) Basis of the image (column space)
1 4 2 1 7.[12pts) Let A = 0 1 1-2 -8 -4 -2 (a) Find...
1 4 2 1 7.[12pts) Let A = 0 1 1-2 -8 -4 -2 (a) Find bases for the four fundamental subspaces of the matrix A. Basis for n(A) = nullspace of A: Basis for N(4")= nullspace of A": Basis for col(A) = column space of A: Basis for col(A) = column space of A': () Give a vector space that is isomorphic to col (A) N(A).
Find a basis for the column space of the matrix [-1 3 7 2 0 |1-3...
Find a basis for the column space of the matrix [-1 3 7 2 0 |1-3 -7 -2 -2 1 Let A = 2 -7 -1 1 1 3 and B 1 -4 -9 -5 -3 -5 5 -6 -11 -9 -1 0 0 0 0 It can be shown that matrix A is row equivalent to matrix B. Find a basis for Col A. 3 7 -2 -7 -4 -11 2 -9 -6 -7 -3 0 1 0 0...
1 3 -2 -5 2 11 1. Let A= 3 9 -5 -13 6 3 1 -2 -6 8 18 -1 -1 (a) Find a basis for the row space of A, i.e. Row(A). (b) Find a basis for the column space of A, i.e. Col(A). (c) Find a basis for the null space of A, i.e. Null(A). (d) Determine rankA and dim(Null(A)).
2 3 -6 9 0 1 -2 0 3. Let A= 2 -4 7 2 The RREF of A iso 0 1 3 -6 6 -6 0 0 0 (a) (6 points) Find a basis for Col A, the column space of A. 0 (b) (2 points) What is rank A? (c) (6 points) Find a basis for Null A, the null space of A. (d) (2 points) What is the dimension of the null space of A?
1. Find a basis for the null space and row space of 1-13 (a) A 5-4 -4 7 -6 2 2 0 3 (b) A544 7 -6 2
1. Find a basis for the null space and row space of 1-13 (a) A 5-4 -4 7 -6 2 2 0 3 (b) A544 7 -6 2
I Let A = 2 4 20 -2-5 7 3 -37-86 suppose it is found that the RREF of A is [ 109.17 01-54 -oooo find a basis for the hull spare of A find a basis for the column space of A find a basis for the Row space of A
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Given that B = {[1 7 3], [ – 2 –7 – 3), [6 23 10]} is a basis of R' and C = {[1 0 0], [-4 1 -2], [-2 1 - 1]} is another basis for R! find the transition matrix that converts coordinates with respect to base B to coordinates with respect to base C. Preview Find a single matrix for the transformation that is equivalent to doing the following four transformations...
2) Let (1 3 15 7 -20 A= 2 4 22 8 3 1 2 7 34 17 -1 3 be given (a)( 10 pts.) Find the reduced echelon form of A. (b)(5 pts.) Find a basis for the Row(A). (c)( 5 pts.) Find a basis for the Col(A). (d) (5 pts.) Find a basis for the Null(A). (e)( 5 pts.) What are the rank and nullity of A?
Linear Algebra. Question 11. Thanks for helping!
2 3 -2 -4 64 46 4 5 -4 9 2 -4 4 5 M-3 6 6 -4 Given -2 -4 491 & 11- Find basis for row space ofM, &M2 R(M)&R(M2) N(M)& N(M2) Find basis for Nullity ofM,&M, Show that R(M)&RM) are orthogonal N(M)&N(M;) Show that the column space of M, is the same as row space ofM Show that the column space of Mi Is orthogonal to Nullity ofM What is...
(2 points) Let 4- -1 01 1 1-1 0-2]. Find orthonormal bases of the kernel, row space, and image (column space) of A (b) Basis of the row space: (c) Basis of the image (column space)
1 4 2 1 7.[12pts) Let A = 0 1 1-2 -8 -4 -2 (a) Find bases for the four fundamental subspaces of the matrix A. Basis for n(A) = nullspace of A: Basis for N(4")= nullspace of A": Basis for col(A) = column space of A: Basis for col(A) = column space of A': () Give a vector space that is isomorphic to col (A) N(A).
Find a basis for the column space of the matrix [-1 3 7 2 0 |1-3 -7 -2 -2 1 Let A = 2 -7 -1 1 1 3 and B 1 -4 -9 -5 -3 -5 5 -6 -11 -9 -1 0 0 0 0 It can be shown that matrix A is row equivalent to matrix B. Find a basis for Col A. 3 7 -2 -7 -4 -11 2 -9 -6 -7 -3 0 1 0 0...
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