![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 th](http://img.homeworklib.com/questions/d7d07460-af8c-11eb-a1f6-390676e9baa3.png?x-oss-process=image/resize,w_560)
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Part 7 of 8 - Question 7 of 8 1.0 Points , find det A. [100...
Part 7 of 8 - Question 7 of 8 1.0 Points , find det A. [100 If A = 0 1 2 O 34 ОАО OB. 2 O C. -2 O D. 10 O E. not defined Reset Selection Part 8 of 8 - Question 8 of 8 1.0 Points 2] [100] 5 and C= 0 0 2 . Which of these matrices have determinant zero? 0 30 [171] -1 0 Consider the matrices A= 3 0 3 , B=...
Part 5 of 8 - Question 5 of 8 1.0 Points dy If dt 6y and...
Part 5 of 8 - Question 5 of 8 1.0 Points dy If dt 6y and y(0) = 3, what is the value of y In 3 3 A.-18 B. 3 C. 2 D. 18 E. 27 Reset Selection
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...
Part 3 of 8 - Question 3 of 8 1.0 Points Let A be a 4x5...
Part 3 of 8 - Question 3 of 8 1.0 Points Let A be a 4x5 matrix with rank 2. Then the linear system At = has A. no solution B. a unique solution C. a 1-parameter family of solutions D. a 2-parameter family of solutions E. a 3-parameter family of solutions Part 4 of 8 - Question 4 of 8 1.0 Points If the coefficient matrix of a system of linear equations is square but is not invertible (i.e....
Differention Equations - Can someone answer the checked numbers please? Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve fo...
Differention Equations - Can someone answer the checked
numbers please?
Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve for A1, noting that ao- det A0 The matrix A-0 22 has characteristic equation 0 0 2 2-A)P-8-12A +62- 0, so 8A1-12+6A -A, r 8A1-12 Hence we need only divide by 8 after computing 6A+. 23 1 4 12 10 4 -64 EXERCISES 1. Find AB,...
(3 points) Let A be a 4 x 4 matrix with det(A) = 8. 1. If...
(3 points) Let A be a 4 x 4 matrix with det(A) = 8. 1. If the matrix B is obtained from mes the second row to the first, then det(B) = 2. If the matrix C is obtained from A by swapping the first and second rows , then det(C) = 3. If the matrix D is obtained from A by multiplying the first row by 5, then det(D) =
44. a.Let A and B be two 2 × 2 matrices,Let Tr denote the trace and det denote the determinant. Prove that Tr(AB)-Tr(BA) and det(AB) - det(BA). b. If A is any matrix in SLa(R), prove that det ((-...
44. a.Let A and B be two 2 × 2 matrices,Let Tr denote the trace and det denote the determinant. Prove that Tr(AB)-Tr(BA) and det(AB) - det(BA). b. If A is any matrix in SLa(R), prove that det ((-A-t +1 where t = Tr(A).
44. a.Let A and B be two 2 × 2 matrices,Let Tr denote the trace and det denote the determinant. Prove that Tr(AB)-Tr(BA) and det(AB) - det(BA). b. If A is any matrix in SLa(R), prove...
Question 5 True of False part II: 5 problems, 2 points each. (6). Let w be...
Question 5 True of False part II: 5 problems, 2 points each. (6). Let w be the x-y plain of R3, then wlis any line that is orthogonal to w. (Select) (7). Let A be a 3 x 3 non-invertible matrix. If Ahas eigenvalues 1 and 2, then A is diagonalizable. Sele (8). If an x n matrix A is diagonalizable, then n eigenvectors of A form a basis of " [Select] (9). Letzbean x 1 vector. Then all matrices...
1. Let A and B be two 4 by 4 matrices with (let A =-2 and...
1. Let A and B be two 4 by 4 matrices with (let A =-2 and det B-1-8. Find det(-2.1' B) 2. Assume that A is a 4 x 4 matrix and det (Adj(A))-8, find det(A) 3. Find the inverse the given matrice by way of elementary row operations
1. (10 points) Let A and B be 3 x 3 matrices, with det A =...
1. (10 points) Let A and B be 3 x 3 matrices, with det A = -3 and det B = 2. Compute (a) det AB (6) det B4 (c) det 3B (d) det A"B" AT (e) det B-AB
Part 7 of 8 - Question 7 of 8 1.0 Points , find det A. [100 If A = 0 1 2 O 34 ОАО OB. 2 O C. -2 O D. 10 O E. not defined Reset Selection Part 8 of 8 - Question 8 of 8 1.0 Points 2] [100] 5 and C= 0 0 2 . Which of these matrices have determinant zero? 0 30 [171] -1 0 Consider the matrices A= 3 0 3 , B=...
Part 5 of 8 - Question 5 of 8 1.0 Points dy If dt 6y and y(0) = 3, what is the value of y In 3 3 A.-18 B. 3 C. 2 D. 18 E. 27 Reset Selection
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...
Part 3 of 8 - Question 3 of 8 1.0 Points Let A be a 4x5 matrix with rank 2. Then the linear system At = has A. no solution B. a unique solution C. a 1-parameter family of solutions D. a 2-parameter family of solutions E. a 3-parameter family of solutions Part 4 of 8 - Question 4 of 8 1.0 Points If the coefficient matrix of a system of linear equations is square but is not invertible (i.e....
Differention Equations - Can someone answer the checked
numbers please?
Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve for A1, noting that ao- det A0 The matrix A-0 22 has characteristic equation 0 0 2 2-A)P-8-12A +62- 0, so 8A1-12+6A -A, r 8A1-12 Hence we need only divide by 8 after computing 6A+. 23 1 4 12 10 4 -64 EXERCISES 1. Find AB,...
(3 points) Let A be a 4 x 4 matrix with det(A) = 8. 1. If the matrix B is obtained from mes the second row to the first, then det(B) = 2. If the matrix C is obtained from A by swapping the first and second rows , then det(C) = 3. If the matrix D is obtained from A by multiplying the first row by 5, then det(D) =
44. a.Let A and B be two 2 × 2 matrices,Let Tr denote the trace and det denote the determinant. Prove that Tr(AB)-Tr(BA) and det(AB) - det(BA). b. If A is any matrix in SLa(R), prove that det ((-A-t +1 where t = Tr(A).
44. a.Let A and B be two 2 × 2 matrices,Let Tr denote the trace and det denote the determinant. Prove that Tr(AB)-Tr(BA) and det(AB) - det(BA). b. If A is any matrix in SLa(R), prove...
Question 5 True of False part II: 5 problems, 2 points each. (6). Let w be the x-y plain of R3, then wlis any line that is orthogonal to w. (Select) (7). Let A be a 3 x 3 non-invertible matrix. If Ahas eigenvalues 1 and 2, then A is diagonalizable. Sele (8). If an x n matrix A is diagonalizable, then n eigenvectors of A form a basis of " [Select] (9). Letzbean x 1 vector. Then all matrices...
1. Let A and B be two 4 by 4 matrices with (let A =-2 and det B-1-8. Find det(-2.1' B) 2. Assume that A is a 4 x 4 matrix and det (Adj(A))-8, find det(A) 3. Find the inverse the given matrice by way of elementary row operations
1. (10 points) Let A and B be 3 x 3 matrices, with det A = -3 and det B = 2. Compute (a) det AB (6) det B4 (c) det 3B (d) det A"B" AT (e) det B-AB
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