![Determine which of the following matrices are in RREF. ſi 0 -1 0 ſi 0 0 27 in) 0 1 2 0 [1 0 1 0] ii) 0 1 1 0 0 0 0 1 ſi 0 0 2](http://img.homeworklib.com/questions/b7de9ec0-09cc-11eb-9584-a932ae2681ca.png?x-oss-process=image/resize,w_560)
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two seperate questions multiple choice
Determine which of the following matrices are in RREF. ſi 0...
3 seperate questions multiple choice Determine which of the following matrices are in RREF. ſi 0...
3 seperate questions multiple choice
Determine which of the following matrices are in RREF. ſi 0 0 27 i) 0 2 0 3 0 1 1 4 ſi 0 1 0] i) 0 1 1 0 0 0 0 1 [1 0 -1 2 ii) 0 1 07 0 o [1 0 0 2 iv) 0 1 0 1 0 0 1 0 0 0 1 iv only ii and iii ii and iv i and ii For the given...
two seperate questions multiple choice Determine if the vector is an eigenvector of a matrix. If...
two seperate questions multiple choice
Determine if the vector is an eigenvector of a matrix. If it is, determine the corresponding eigenvalue. A= 1 1 1 and v The eigenvalue is 2. The eigenvalue is 0. The eigenvalue is 3. v is not an eigenvector. Find the inverse of the matrix, if it exists. A= -1-6 6 3 2 11 11 1 11 33 33 NE -= 2 11 = -18 = -1= 야야 O
Could you please just solve Question (i) A: Thanks 3. For each of the following matrices,...
Could you please just solve Question
(i) A: Thanks
3. For each of the following matrices, a. Determine the characteristic polynomial corresponding to the matrix. b. Find the eigenvalues of the matrix. c. For each eigenvalue, determine the corresponding eigenspace as a span of vectors. d. Determine an eigenvector corresponding to each eigenvalue. e. Pick one eigenvalue of each matrix and the corresponding eigenvector chosen in part (d) and verify that they are indeed an eigenvalue and eigenvector of the...
2 seperate questions multiple choice The augmented matrix for a system is given as, (9-3631 Find...
2 seperate questions multiple choice
The augmented matrix for a system is given as, (9-3631 Find the general solution or state that there is no solution No solution 5 = 7 T. N (-5,7) For the given matrix A, find a basis for the corresponding eigenspace for the given eigenvalue. 1-4-4 A-4 4. A = -3 4 -4 -7 1
For each of the following matrices determine whether the matrix is in REF, in RREF or in neither RREF nor REF 0 2 -1 34...
For each of the following matrices determine whether the matrix is in REF, in RREF or in neither RREF nor REF 0 2 -1 34 010 3 0 B- 00 2-5 0 A-0 0 0 0 0 000 0 1 0 0 0 2 1 0 1 0-4 0 D=100 C-1001 000 0 1 14-17 0 0-2 6 3 00 0 1 4 00 0 0 -3 0 0 1 G- 10 H=1000 0 0 1 J-0 0 1 A...
2 seperate questions the last picture is part of the second question ( multiple choice) Let...
2 seperate questions the last picture is part of the second
question ( multiple choice)
Let A and B benxn invertible matrices, then det(B-1 AB) = 0 det(A) det(B) -det(A) (1 2-3 51 The augmented matrix for a system is given as, 0 1 4-6. Find the general solution or state that 0 0 0 0 there is no solution x=5-2y+32 y=-6-42 z is free x=17 y=-6 z=1 0 O X 17 [11] y -6 +1 -4. N 0
5. Let B be the following matrix in reduced row-echelon form: 1 B= 1 -1 0-1...
5. Let B be the following matrix in reduced row-echelon form: 1 B= 1 -1 0-1 0 0 2 0 0 0 0 0 0 0 0 (a) (3 pts) Let C be a matrix with rref(C) = B. Find a basis of ker(C). (b) (3 pts) Find two matrices A1 and A2 so that rref(A1) = rref(A2) im(A) # im(A2). B, and 1 (c) (5 pts) Find the matrix A with the following properties: rref(A) = B, is an...
three seperate questions multiple choice 13 and B= Find A -B. 2 . [4:1 Let A=...
three seperate questions multiple choice
13 and B= Find A -B. 2 . [4:1 Let A= -1 6 2 6 7 177 15 12 1 5 5 30 1 5 3 30 7 17 15 36 Let A and B be 3 x 3 matrices with det(A) = 2 and det(B) = -3. Then find det(-A2B). -6 -12 6 12 [5 2 -2 3 -47 0 4 21 _0 Find the determinant of the matrix, A= 10 0 -2 3...
three seperate questions multiple choice Given A= -(-18)and B=(1-32] Find the matrix product AB, if it...
three seperate questions multiple choice
Given A= -(-18)and B=(1-32] Find the matrix product AB, if it is defined. 0-6 21 1 -18 12 [-28 - 3 6-71 -20 -1 19 (3 7-11 -20 19 AB is undefined. The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, if the products are defined A is 2 * 3, B is 3 * 2. AB is 3 x 3, BA is...
3 seperate questions multiple choice Evaluate the determinant by using a cofactor expansion along any row...
3 seperate questions multiple choice
Evaluate the determinant by using a cofactor expansion along any row or column. -5 5 -5 3 0-1 2-2 0 3 0 0 0 -3 4 1 0 150 0-150 0-30 Find the eigenvalues of the given matrix. 2 3 O 1, 2 O 1, -2 -2 1 1 Row reduce the matrix to obtain a row equivalent matrix. 4 -2 31 -3 -11 9-5 1-2 3 4 3 [1 4 -2 3 0 1...
3 seperate questions multiple choice
Determine which of the following matrices are in RREF. ſi 0 0 27 i) 0 2 0 3 0 1 1 4 ſi 0 1 0] i) 0 1 1 0 0 0 0 1 [1 0 -1 2 ii) 0 1 07 0 o [1 0 0 2 iv) 0 1 0 1 0 0 1 0 0 0 1 iv only ii and iii ii and iv i and ii For the given...
two seperate questions multiple choice
Determine if the vector is an eigenvector of a matrix. If it is, determine the corresponding eigenvalue. A= 1 1 1 and v The eigenvalue is 2. The eigenvalue is 0. The eigenvalue is 3. v is not an eigenvector. Find the inverse of the matrix, if it exists. A= -1-6 6 3 2 11 11 1 11 33 33 NE -= 2 11 = -18 = -1= 야야 O
Could you please just solve Question
(i) A: Thanks
3. For each of the following matrices, a. Determine the characteristic polynomial corresponding to the matrix. b. Find the eigenvalues of the matrix. c. For each eigenvalue, determine the corresponding eigenspace as a span of vectors. d. Determine an eigenvector corresponding to each eigenvalue. e. Pick one eigenvalue of each matrix and the corresponding eigenvector chosen in part (d) and verify that they are indeed an eigenvalue and eigenvector of the...
2 seperate questions multiple choice
The augmented matrix for a system is given as, (9-3631 Find the general solution or state that there is no solution No solution 5 = 7 T. N (-5,7) For the given matrix A, find a basis for the corresponding eigenspace for the given eigenvalue. 1-4-4 A-4 4. A = -3 4 -4 -7 1
For each of the following matrices determine whether the matrix is in REF, in RREF or in neither RREF nor REF 0 2 -1 34 010 3 0 B- 00 2-5 0 A-0 0 0 0 0 000 0 1 0 0 0 2 1 0 1 0-4 0 D=100 C-1001 000 0 1 14-17 0 0-2 6 3 00 0 1 4 00 0 0 -3 0 0 1 G- 10 H=1000 0 0 1 J-0 0 1 A...
2 seperate questions the last picture is part of the second
question ( multiple choice)
Let A and B benxn invertible matrices, then det(B-1 AB) = 0 det(A) det(B) -det(A) (1 2-3 51 The augmented matrix for a system is given as, 0 1 4-6. Find the general solution or state that 0 0 0 0 there is no solution x=5-2y+32 y=-6-42 z is free x=17 y=-6 z=1 0 O X 17 [11] y -6 +1 -4. N 0
5. Let B be the following matrix in reduced row-echelon form: 1 B= 1 -1 0-1 0 0 2 0 0 0 0 0 0 0 0 (a) (3 pts) Let C be a matrix with rref(C) = B. Find a basis of ker(C). (b) (3 pts) Find two matrices A1 and A2 so that rref(A1) = rref(A2) im(A) # im(A2). B, and 1 (c) (5 pts) Find the matrix A with the following properties: rref(A) = B, is an...
three seperate questions multiple choice
13 and B= Find A -B. 2 . [4:1 Let A= -1 6 2 6 7 177 15 12 1 5 5 30 1 5 3 30 7 17 15 36 Let A and B be 3 x 3 matrices with det(A) = 2 and det(B) = -3. Then find det(-A2B). -6 -12 6 12 [5 2 -2 3 -47 0 4 21 _0 Find the determinant of the matrix, A= 10 0 -2 3...
three seperate questions multiple choice
Given A= -(-18)and B=(1-32] Find the matrix product AB, if it is defined. 0-6 21 1 -18 12 [-28 - 3 6-71 -20 -1 19 (3 7-11 -20 19 AB is undefined. The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, if the products are defined A is 2 * 3, B is 3 * 2. AB is 3 x 3, BA is...
3 seperate questions multiple choice
Evaluate the determinant by using a cofactor expansion along any row or column. -5 5 -5 3 0-1 2-2 0 3 0 0 0 -3 4 1 0 150 0-150 0-30 Find the eigenvalues of the given matrix. 2 3 O 1, 2 O 1, -2 -2 1 1 Row reduce the matrix to obtain a row equivalent matrix. 4 -2 31 -3 -11 9-5 1-2 3 4 3 [1 4 -2 3 0 1...
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