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three seperate questions multiple choice
13 and B= Find A -B. 2 . [4:1 Let 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
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...
(1 point) Compute the determinant of the matrix -1 -2 -4 -6 -7 -7 7 7...
(1 point) Compute the determinant of the matrix -1 -2 -4 -6 -7 -7 7 7 A= 0 0 0 0 -4 -5 7 det(A) (1 point) Find the determinant of the matrix 6 A- 6 -9 -7 det(A) (1 point) Find the determinant of the matrix 2 2 -2 B= 1 -1 2 3 -2 det (B)
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
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...
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
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...
# 2 and # 3 2 -6 4 -4 0 -4 6 1. Define A =...
# 2 and # 3
2 -6 4 -4 0 -4 6 1. Define A = 8 01 . Determine, by hand, the LU factorization, of A. You may of course check your answer using appropriate technology tools. Then use your result to solve the system of equations Ax b, where b--4 2 0 5 2 2. Suppose A-6 -3 133Even though A is not square, it has an LU factorization A LU, 4 9 16 17 where L and...
1 01 4. Let A 11. (a) Find ATA, (b) find det (AAT). [10 points 1...
1 01 4. Let A 11. (a) Find ATA, (b) find det (AAT). [10 points 1 2 3 0 5. Calculate the determinant of D 03 [10 points 0 2 0 7 2 1 1 6. Find the inverse of A 1 3 using the method in section 5.3. 10 points
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,...
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
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...
(1 point) Compute the determinant of the matrix -1 -2 -4 -6 -7 -7 7 7 A= 0 0 0 0 -4 -5 7 det(A) (1 point) Find the determinant of the matrix 6 A- 6 -9 -7 det(A) (1 point) Find the determinant of the matrix 2 2 -2 B= 1 -1 2 3 -2 det (B)
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
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...
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
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...
# 2 and # 3
2 -6 4 -4 0 -4 6 1. Define A = 8 01 . Determine, by hand, the LU factorization, of A. You may of course check your answer using appropriate technology tools. Then use your result to solve the system of equations Ax b, where b--4 2 0 5 2 2. Suppose A-6 -3 133Even though A is not square, it has an LU factorization A LU, 4 9 16 17 where L and...
1 01 4. Let A 11. (a) Find ATA, (b) find det (AAT). [10 points 1 2 3 0 5. Calculate the determinant of D 03 [10 points 0 2 0 7 2 1 1 6. Find the inverse of A 1 3 using the method in section 5.3. 10 points
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,...
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