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Suppose that: A =[-4 2 -3 3] and B = [-5 -1 5 5 -1 4 -2 -2 -1] Given the following descriptions, determine the following elementary matrices and their inverses. {View Image}
a. The elementary matrix ?1E1 multiplies the first row of A by 1/6.b. The elementary matrix ?2E2 multiplies the second row of A by -4.c. The elementary matrix ?3E3 switches the first and second rows of A.d. The elementary matrix ?4E4 adds 6 times the first row of A to the second row of A.e. The elementary matrix ?5E5 multiplies the second row of B by 1/3.f. The elementary matrix ?6E6 multiplies the third row of B by -4.g. The elementary matrix ?7E7 switches the first and third rows of B.h. The elementary matrix ?8E8 adds...
Suppose that and B 4 -2 4 4 -2 2 Given the following descriptions, determine the...
Suppose that and B 4 -2 4 4 -2 2 Given the following descriptions, determine the following elementary matrices and their inverses. a) The elementary matrix E subtracts 5 times the first row of A from the second row of A. Ei- b) The elementary matrix E21 subtracts -3 times the first row of A from the second row of A. Ei- c) The permutation matrix P12 switches the first and second rows of A. 12 d) The elementary matrix...
(1 point) Suppose that 1 1 -2 5 5 2 145 Given the following descriptions, determine...
(1 point) Suppose that 1 1 -2 5 5 2 145 Given the following descriptions, determine the following elementary matrices and their inverses. matrix Ezi subtracts 5 times the first row of A from the second row of A E21 = The elementary matrix Ez1 subtracts -6 times the irst row of A from the second row of A The permutation matrix Piz switches the first and second rows of A P12 The elementary matrix Ezi subtracts 7 times the...
(1 point) Suppose that: -15 A= and B = 3 -2 -4 -1 5 e) The...
(1 point) Suppose that: -15 A= and B = 3 -2 -4 -1 5 e) The elementary matrix E2.1 subtracts 6 times the first row of B from the second row of B. E2,1 = , Ez1 = f) The elementary matrix E3.1 subtracts -5 times the first row of B from the third row of B. E3.1 = g) The permutation matrix P13 switches the first and third rows of B. P13= ,P3! = h) The elementary matrix E32...
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...
4. For the given elementary row operation e, find its inverse operation e-1 and the elementary...
4. For the given elementary row operation e, find its inverse operation e-1 and the elementary matrices associated with e and e-1, e = R 2 R, the e: Add - 2 times the second row to the third row of 3 x 3 matrices.
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-...
(1 point) Suppose that we have 5 matrices A a 3 x 2 matrix, B a...
(1 point) Suppose that we have 5 matrices A a 3 x 2 matrix, B a 2 x 3 matrix, C a 4 x 4 matrix, D a 3 x 2 matrix, and Ea 4 x 4 matrix. Which of the following matrix operations are defined? A. A+D B. C+E C. 3C - 6D D. 4E-6D E. 4D + A F. 3A G. C+E+D H. 4B L. A + B
1 3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary...
1
3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1
3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1
Matlab answer only Form 1 6) [10 pts] Consider the following two matrices B=[S A 3...
Matlab answer only
Form 1 6) [10 pts] Consider the following two matrices B=[S A 3 1 5 -7 4 6-3] a) Obtain the sum of each row of matrix A. b) Use the size function to create a magic matrix P which has the same size as matrix A. c) Create a matrix called Q from the second column of matrix A d) Extract the four numbers in the lower left-hand corner of matrix A and create matrix R....
Suppose that and B 4 -2 4 4 -2 2 Given the following descriptions, determine the following elementary matrices and their inverses. a) The elementary matrix E subtracts 5 times the first row of A from the second row of A. Ei- b) The elementary matrix E21 subtracts -3 times the first row of A from the second row of A. Ei- c) The permutation matrix P12 switches the first and second rows of A. 12 d) The elementary matrix...
(1 point) Suppose that 1 1 -2 5 5 2 145 Given the following descriptions, determine the following elementary matrices and their inverses. matrix Ezi subtracts 5 times the first row of A from the second row of A E21 = The elementary matrix Ez1 subtracts -6 times the irst row of A from the second row of A The permutation matrix Piz switches the first and second rows of A P12 The elementary matrix Ezi subtracts 7 times the...
(1 point) Suppose that: -15 A= and B = 3 -2 -4 -1 5 e) The elementary matrix E2.1 subtracts 6 times the first row of B from the second row of B. E2,1 = , Ez1 = f) The elementary matrix E3.1 subtracts -5 times the first row of B from the third row of B. E3.1 = g) The permutation matrix P13 switches the first and third rows of B. P13= ,P3! = h) The elementary matrix E32...
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...
4. For the given elementary row operation e, find its inverse operation e-1 and the elementary matrices associated with e and e-1, e = R 2 R, the e: Add - 2 times the second row to the third row of 3 x 3 matrices.
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-...
(1 point) Suppose that we have 5 matrices A a 3 x 2 matrix, B a 2 x 3 matrix, C a 4 x 4 matrix, D a 3 x 2 matrix, and Ea 4 x 4 matrix. Which of the following matrix operations are defined? A. A+D B. C+E C. 3C - 6D D. 4E-6D E. 4D + A F. 3A G. C+E+D H. 4B L. A + B
1
3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1
3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1
Matlab answer only
Form 1 6) [10 pts] Consider the following two matrices B=[S A 3 1 5 -7 4 6-3] a) Obtain the sum of each row of matrix A. b) Use the size function to create a magic matrix P which has the same size as matrix A. c) Create a matrix called Q from the second column of matrix A d) Extract the four numbers in the lower left-hand corner of matrix A and create matrix R....
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