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13 please 8. b. -2 3 0 0 0 0 -1 2 0 0-4 0 3...
13 please
8. b. -2 3 0 0 0 0 -1 2 0 0-4 0 3 0-2 0 3 0 0 -2 0 3 0 4 o0-1 6 0 0 1 o 2 6 0 0 -1 6 10. For any positive integer k, prove that det(4t) - de(A)*. 11. Prove that if A is invertible, then den(A-1)- I/der(A) - det(4)- 12. We know in general that A-B丰B-A for two n x n matrices. However, prove that: det(A . B)-det(B...
(1 point) Consider the matrix A and its square A 0 7 13 -21 -7 3...
(1 point) Consider the matrix A and its square A 0 7 13 -21 -7 3 21 40 The following matrix multiplication can easily be rewrthen as a product of two partisoned matrices (each made up of sixc 2 x 2 parttions) Use this tfact to rapidly caloulate the product using the values of A A2 8777 -7 3 7 3 7 3 8710 o0 7301 0 0 -6710 -7 3 0 67 0 0 7 3 00 0 07...
HW10P5 (10 points) 3 2 -1 Let A be the matrix A = 1-3 0 6...
HW10P5 (10 points) 3 2 -1 Let A be the matrix A = 1-3 0 6 -2 1 a. (4 pts) Find the multipliers l21, 131,132 and the elemention matrices E21, E31, E32 b. (2 pts) Use the multipliers l21, 131,132 to construct the lower triangular matrix, L c. (2 pts) Use the elimination matrices to determine the upper triangular, U, matrix of A d. (2 pts) verify that LU A
Question 1 of 8 1.0 Points 11 [100] [o 1 1] , B= 0 1 2...
Question 1 of 8 1.0 Points 11 [100] [o 1 1] , B= 0 1 2 and C = 0 1 2. Which of 10 3 4 10 3 4] Consider the matrices A= 3 4 these matrices is/are invertible? O A. All of them O B. A and B only O C. A and C only OD. B and C only O E. None of them Reset Selection Part 2 of 7 - Question 2 of 8 1.0 Points...
3. Let A 2 -30 1 0 -2 2 0 (i) Compute the determinant of A...
3. Let A 2 -30 1 0 -2 2 0 (i) Compute the determinant of A using the cofactor expansion technique along (a) row 1 and (b) column 3. (ii) In trying to find the inverse of A, applying four elementary row operations reduces the aug- mented matrix [A1] to -2 0 0 0 0 -2 2 1 3 0 1 0 1 0 -2 Continue with row reductions to obtain the augmented matrix [1|A-') and thus give the in-...
tut3.1 1. Find the modal matrices M for 1 3 3 5 -1 2 0 1 2 (a) A (b) A (c) A =0 3 0 4 2 3 3 and check by direct matrix...
tut3.1
1. Find the modal matrices M for 1 3 3 5 -1 2 0 1 2 (a) A (b) A (c) A =0 3 0 4 2 3 3 and check by direct matrix multiplication that M 'AM results in the correspond ing spectral matrices A
1. Find the modal matrices M for 1 3 3 5 -1 2 0 1 2 (a) A (b) A (c) A =0 3 0 4 2 3 3 and check by direct...
[1 0 O1[i 2 0 3 6. (4) Let A 3 1 0l0 0 3 1. Without multiplying the matrices, 0 -1 1110 0 0 0 (a) Find the dimension of...
[1 0 O1[i 2 0 3 6. (4) Let A 3 1 0l0 0 3 1. Without multiplying the matrices, 0 -1 1110 0 0 0 (a) Find the dimension of each of the four fundamental subspaces. b have a solution? (b) For what column vector b (b, b2, ba)' does the system AX (c) Find a basis for N(A) and for N(AT).
[1 0 O1[i 2 0 3 6. (4) Let A 3 1 0l0 0 3 1. Without...
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...
2.(a) Show that if 7 1 0 0 M 00). and M3 = 10 1 =...
2.(a) Show that if 7 1 0 0 M 00). and M3 = 10 1 = Mi= 100) M2 (01) then the span of {M1, M2, M3} is the set of all symmetric 2 x 2 matrices. (b) For k = 0,1..., n let px(x) = zk + 2k+1 + ... + x Show that the set {Po(2), p1(2),..., Pn(x)} is linearly independent in Pn(F).
please help me answer this question Lecky Nunber Memnon Cless M 2. Which matrix is not...
please help me answer this question
Lecky Nunber Memnon Cless M 2. Which matrix is not an elementary matrix? 100 100 100 1 1 10 (D). (C). (B). 01 4 001 (A). 0 1 0 00 1 0 1 1 001 3. Which matrix is invertible? 2 3 100 -7 0 3 [1 2 3 (D). 1 2 3 6 4 (C). 0 0 3 3 01 (A). 3 5 9 6 8 18 (B). 004 2 04 4-5a, a-5a...
13 please
8. b. -2 3 0 0 0 0 -1 2 0 0-4 0 3 0-2 0 3 0 0 -2 0 3 0 4 o0-1 6 0 0 1 o 2 6 0 0 -1 6 10. For any positive integer k, prove that det(4t) - de(A)*. 11. Prove that if A is invertible, then den(A-1)- I/der(A) - det(4)- 12. We know in general that A-B丰B-A for two n x n matrices. However, prove that: det(A . B)-det(B...
(1 point) Consider the matrix A and its square A 0 7 13 -21 -7 3 21 40 The following matrix multiplication can easily be rewrthen as a product of two partisoned matrices (each made up of sixc 2 x 2 parttions) Use this tfact to rapidly caloulate the product using the values of A A2 8777 -7 3 7 3 7 3 8710 o0 7301 0 0 -6710 -7 3 0 67 0 0 7 3 00 0 07...
HW10P5 (10 points) 3 2 -1 Let A be the matrix A = 1-3 0 6 -2 1 a. (4 pts) Find the multipliers l21, 131,132 and the elemention matrices E21, E31, E32 b. (2 pts) Use the multipliers l21, 131,132 to construct the lower triangular matrix, L c. (2 pts) Use the elimination matrices to determine the upper triangular, U, matrix of A d. (2 pts) verify that LU A
Question 1 of 8 1.0 Points 11 [100] [o 1 1] , B= 0 1 2 and C = 0 1 2. Which of 10 3 4 10 3 4] Consider the matrices A= 3 4 these matrices is/are invertible? O A. All of them O B. A and B only O C. A and C only OD. B and C only O E. None of them Reset Selection Part 2 of 7 - Question 2 of 8 1.0 Points...
3. Let A 2 -30 1 0 -2 2 0 (i) Compute the determinant of A using the cofactor expansion technique along (a) row 1 and (b) column 3. (ii) In trying to find the inverse of A, applying four elementary row operations reduces the aug- mented matrix [A1] to -2 0 0 0 0 -2 2 1 3 0 1 0 1 0 -2 Continue with row reductions to obtain the augmented matrix [1|A-') and thus give the in-...
tut3.1
1. Find the modal matrices M for 1 3 3 5 -1 2 0 1 2 (a) A (b) A (c) A =0 3 0 4 2 3 3 and check by direct matrix multiplication that M 'AM results in the correspond ing spectral matrices A
1. Find the modal matrices M for 1 3 3 5 -1 2 0 1 2 (a) A (b) A (c) A =0 3 0 4 2 3 3 and check by direct...
[1 0 O1[i 2 0 3 6. (4) Let A 3 1 0l0 0 3 1. Without multiplying the matrices, 0 -1 1110 0 0 0 (a) Find the dimension of each of the four fundamental subspaces. b have a solution? (b) For what column vector b (b, b2, ba)' does the system AX (c) Find a basis for N(A) and for N(AT).
[1 0 O1[i 2 0 3 6. (4) Let A 3 1 0l0 0 3 1. Without...
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...
2.(a) Show that if 7 1 0 0 M 00). and M3 = 10 1 = Mi= 100) M2 (01) then the span of {M1, M2, M3} is the set of all symmetric 2 x 2 matrices. (b) For k = 0,1..., n let px(x) = zk + 2k+1 + ... + x Show that the set {Po(2), p1(2),..., Pn(x)} is linearly independent in Pn(F).
please help me answer this question
Lecky Nunber Memnon Cless M 2. Which matrix is not an elementary matrix? 100 100 100 1 1 10 (D). (C). (B). 01 4 001 (A). 0 1 0 00 1 0 1 1 001 3. Which matrix is invertible? 2 3 100 -7 0 3 [1 2 3 (D). 1 2 3 6 4 (C). 0 0 3 3 01 (A). 3 5 9 6 8 18 (B). 004 2 04 4-5a, a-5a...
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