Linear Algebra: Let A = [{9,-6},{12,-8}] find A^100
Linear Algebra: Let A = [{9,-6},{12,-8}] find A^100
Homework Answers
![A = [ 12 12 -8 Characters the equation af A 8 G-^)(- 8-1 +72 = 0 22_x=0 - X=0, X2 = 1 Let [x] be vector Wor. to the eigen 112](http://img.homeworklib.com/questions/36a46580-0cc6-11eb-92b5-f3c8f181bdf6.png?x-oss-process=image/resize,w_560)
linear algebra 4. Let A= =(-6 ;) -14 6 9 Find the eigenvalues and a basis...
linear algebra
4. Let A= =(-6 ;) -14 6 9 Find the eigenvalues and a basis for each eigenspace.
Need help with these linear algebra problems. Let TARS - R* be the linear transformation with...
Need help with these linear algebra problems.
Let TARS - R* be the linear transformation with standard matrix A A= 11 2 1 4 2 4 2 8 2 1 | 2 3 3 12 3 6 5 9 1. Find a basis of the column space of A. 2. Find a basis of the null space of A. 3. The range of T, is a 4. Is the vector a in the range of TA? Support your answer. 70...
Linear Algebra Problem! 1. Let U be the subspace of R3 given by 11 + 12...
Linear Algebra Problem!
1. Let U be the subspace of R3 given by 11 + 12 - 213 = 0. for U. Justify that is an ordered basis. What is the a) Find an ordered basis dimension of U? b) Let ū= (1,1,1). Show that ✓ EU and find the B-coordinate vector (Ū3 = C:(Ū), where Ce: U + R2 is the B-coordinate transformation.
linear algebra Let T: P2 - P4 be the linear transformation T() = 2x2p. Find the...
linear algebra
Let T: P2 - P4 be the linear transformation T() = 2x2p. Find the matrix A for T relative to the bases B = {1, x,x?) and B' = {1, x,x2, x3, x4} A=
linear algebra Let T: R2 R2 be a reflection in the line y = -x. Find...
linear algebra
Let T: R2 R2 be a reflection in the line y = -x. Find the image of each vector. (a) (-3,9) (b) (5, -1) (c) (a,0) (d) (o, b) (e) ( ed) (f) (9)
Linear Algebra 6. (8pt) (a) Find a subset of the vectors v1 = (1, -1,5,2), V2...
Linear Algebra
6. (8pt) (a) Find a subset of the vectors v1 = (1, -1,5,2), V2 = (-2,3,1,0), V3 =(4,-5, 9,4), V4 = (0,4,2, -3) V5 = (-7, 18, 2, -8) that forms a basis for the space spanned by these vectors. (b) Use (a) to express each vector not in the basis as a linear combination of the basis vectors. (c) Let Vi V2 A= V3 V4 Use (a) to find the dimension of row(A), col(A), null(A), and of...
linear algebra 3. Let A be the following matrix: A= 0 -2 6 0 0 C...
linear algebra
3. Let A be the following matrix: A= 0 -2 6 0 0 C 6 C 02 0 0 8 0 0 5 T 3 -1 7 6 2 - 4 04 (a) Find det(A). Show your work Express your answer in terms of x. (b) Identify the value(s) of x for Nul (A) = {0}.
Linear Algebra -3 1. Let y=| 2 | and 1-1 I. (a) (8 pts) Find projuy...
Linear Algebra
-3 1. Let y=| 2 | and 1-1 I. (a) (8 pts) Find projuy (b) (4 pts) Find the component of y orthogonal to u. (c) (4 pts) Write y as the sum of a vector in Span u and a vector orthogonal to u (d) (4 pts) Find an orthogonal basis for R' which contains u.
Linear algebra question 01 -3 -1 3 4 -6 8 0 -1 31 2. Find a...
Linear algebra question
01 -3 -1 3 4 -6 8 0 -1 31 2. Find a basis for the image of the matrix A-
solve the linear algebra question 1. (6 points) Let S be a subspace of R3 spanned...
solve the linear algebra question
1. (6 points) Let S be a subspace of R3 spanned by the columns of the matrix [1 2 0 1 1] 2 4 1 1 0 3 6 1 2 1 Find a basis of S. What is the dimension of S?
linear algebra
4. Let A= =(-6 ;) -14 6 9 Find the eigenvalues and a basis for each eigenspace.
Need help with these linear algebra problems.
Let TARS - R* be the linear transformation with standard matrix A A= 11 2 1 4 2 4 2 8 2 1 | 2 3 3 12 3 6 5 9 1. Find a basis of the column space of A. 2. Find a basis of the null space of A. 3. The range of T, is a 4. Is the vector a in the range of TA? Support your answer. 70...
Linear Algebra Problem!
1. Let U be the subspace of R3 given by 11 + 12 - 213 = 0. for U. Justify that is an ordered basis. What is the a) Find an ordered basis dimension of U? b) Let ū= (1,1,1). Show that ✓ EU and find the B-coordinate vector (Ū3 = C:(Ū), where Ce: U + R2 is the B-coordinate transformation.
linear algebra
Let T: P2 - P4 be the linear transformation T() = 2x2p. Find the matrix A for T relative to the bases B = {1, x,x?) and B' = {1, x,x2, x3, x4} A=
linear algebra
Let T: R2 R2 be a reflection in the line y = -x. Find the image of each vector. (a) (-3,9) (b) (5, -1) (c) (a,0) (d) (o, b) (e) ( ed) (f) (9)
Linear Algebra
6. (8pt) (a) Find a subset of the vectors v1 = (1, -1,5,2), V2 = (-2,3,1,0), V3 =(4,-5, 9,4), V4 = (0,4,2, -3) V5 = (-7, 18, 2, -8) that forms a basis for the space spanned by these vectors. (b) Use (a) to express each vector not in the basis as a linear combination of the basis vectors. (c) Let Vi V2 A= V3 V4 Use (a) to find the dimension of row(A), col(A), null(A), and of...
linear algebra
3. Let A be the following matrix: A= 0 -2 6 0 0 C 6 C 02 0 0 8 0 0 5 T 3 -1 7 6 2 - 4 04 (a) Find det(A). Show your work Express your answer in terms of x. (b) Identify the value(s) of x for Nul (A) = {0}.
Linear Algebra
-3 1. Let y=| 2 | and 1-1 I. (a) (8 pts) Find projuy (b) (4 pts) Find the component of y orthogonal to u. (c) (4 pts) Write y as the sum of a vector in Span u and a vector orthogonal to u (d) (4 pts) Find an orthogonal basis for R' which contains u.
Linear algebra question
01 -3 -1 3 4 -6 8 0 -1 31 2. Find a basis for the image of the matrix A-
solve the linear algebra question
1. (6 points) Let S be a subspace of R3 spanned by the columns of the matrix [1 2 0 1 1] 2 4 1 1 0 3 6 1 2 1 Find a basis of S. What is the dimension of S?
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