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2.(1) Find bi and b2 so that equation Ax- b, can have solutions; where 21 [b,...
4 Given Ax = b 2 4 6 4 bi 4 A=12576 23 5 2 b3...
4 Given Ax = b 2 4 6 4 bi 4 A=12576 23 5 2 b3 1. Reduce [A b]to [U cl,so that Aa b becomes a triangular system Ux-c. 2. Find the condition on b1, b2, bs for Aabto have a solution. 3. Describe the column space of A. Which plane in R3? 4. Describe the nullspace of A. Which special solutions in R4? 5. Reduce [U c]to[R d]: Special solutions from R, particular solution from d. 6. Find...
Problem 7. (1 point) Consider the multiplication operator LA : R2 → R2 defined by La(x) Ax where Find an ordered basis B (bi, b2) for R2 such that 14 13 EA where E is the standard basis. preview...
Problem 7. (1 point) Consider the multiplication operator LA : R2 → R2 defined by La(x) Ax where Find an ordered basis B (bi, b2) for R2 such that 14 13 EA where E is the standard basis. preview answers
Problem 7. (1 point) Consider the multiplication operator LA : R2 → R2 defined by La(x) Ax where Find an ordered basis B (bi, b2) for R2 such that 14 13 EA where E is the standard basis. preview answers
Lat A= and b= . show that the equation Ax=b does not have a solution for some choices of b, and describe the set of all b for which Ax=b does have a solution.
Let A = and b = . Show that the equation Ax = b does not have a solution for some choices of b, and describe the set of all b for which Ax = b does have a solution. How can it be shown that the equation Ax = b does not have a solution for some choices of b? A. Row reduce the augmented matrix [A b] to demonstrate that [A b] has a pivot position in every row B. Find a vector...
b. - 2 -1 1 and b Let A = Show that the equation Ax =b...
b. - 2 -1 1 and b Let A = Show that the equation Ax =b does not have a solution for all possible b, and -3 0 3 4-2 2 b3 describe the set of all b for which Ax b does have a solution How can it be shown that the equation Ax = b does not have a solution for all possible b? Choose the correct answer below. O A. Find a vector b for which the...
2. Consider the system 2n+4x2 + 8x3 + 12n = b2 (a) Reduce A b to...
2. Consider the system 2n+4x2 + 8x3 + 12n = b2 (a) Reduce A b to Row Reduced Echelon Form Rx-c (b) Find the condition on bi, b2, bs for Ax b to have a solution (c) Find the nullspace of A as the span of special solutions (d) Find a particular solution when b- 3 6 9 and the general solution.
(a) Consider the system i = Ax + bu where 1-1::) and b = (b1 b2)....
(a) Consider the system i = Ax + bu where 1-1::) and b = (b1 b2). Derive a necessary and sufficient condition on the matrix b (i.e., bi and b2) for complete controllability of the system. (b) Same as part (a), except that 0 -1 A= 1 0
1-4 - 31 Let A= 3 and b= Show that the equation Ax=b does not have...
1-4 - 31 Let A= 3 and b= Show that the equation Ax=b does not have a solution for all possible b, and describe the set 4 26 of all b for which Ax=b does have a solution. How can it be shown that the equation Ax = b does not have a solution for all possible b? Choose the correct answer below. O A. Row reduce the augmented matrix [ a b ] to demonstrate thatſ A b )...
(3) 12 il 2. Find the best solution to the equation Ax = b, where: A=...
(3) 12 il 2. Find the best solution to the equation Ax = b, where: A= (1 2 and b = (1 -1) 6 .
I need all details. Thx 9. Consider a basis B = {bi, b2} of a sulspoo, W of R4 where -3 (a) Determine the coordinates of x(3,-1,-2,1) in the basis B (i.e. fnd x). (b) Suppose that bl el-C2 and b2...
I need all details. Thx
9. Consider a basis B = {bi, b2} of a sulspoo, W of R4 where -3 (a) Determine the coordinates of x(3,-1,-2,1) in the basis B (i.e. fnd x). (b) Suppose that bl el-C2 and b2 2c1 +c2. Determine the coordinates of x = (3.-1,-21) in the basis C = {c,,c) (i.e. find [x le) (e) Suppose t dbb an d2b 3b s D- di da a basis of W Why or why not?
9....
6) Suppose a matrix equation, Ax = b, has two solutions and ༼ཡང བ find an...
6) Suppose a matrix equation, Ax = b, has two solutions and ༼ཡང བ find an infinite number of column vector solutions parameterized by t. (Hint: try finding a solution to the homogenous equation Ax = 0.)
4 Given Ax = b 2 4 6 4 bi 4 A=12576 23 5 2 b3 1. Reduce [A b]to [U cl,so that Aa b becomes a triangular system Ux-c. 2. Find the condition on b1, b2, bs for Aabto have a solution. 3. Describe the column space of A. Which plane in R3? 4. Describe the nullspace of A. Which special solutions in R4? 5. Reduce [U c]to[R d]: Special solutions from R, particular solution from d. 6. Find...
Problem 7. (1 point) Consider the multiplication operator LA : R2 → R2 defined by La(x) Ax where Find an ordered basis B (bi, b2) for R2 such that 14 13 EA where E is the standard basis. preview answers
Problem 7. (1 point) Consider the multiplication operator LA : R2 → R2 defined by La(x) Ax where Find an ordered basis B (bi, b2) for R2 such that 14 13 EA where E is the standard basis. preview answers
b. - 2 -1 1 and b Let A = Show that the equation Ax =b does not have a solution for all possible b, and -3 0 3 4-2 2 b3 describe the set of all b for which Ax b does have a solution How can it be shown that the equation Ax = b does not have a solution for all possible b? Choose the correct answer below. O A. Find a vector b for which the...
2. Consider the system 2n+4x2 + 8x3 + 12n = b2 (a) Reduce A b to Row Reduced Echelon Form Rx-c (b) Find the condition on bi, b2, bs for Ax b to have a solution (c) Find the nullspace of A as the span of special solutions (d) Find a particular solution when b- 3 6 9 and the general solution.
(a) Consider the system i = Ax + bu where 1-1::) and b = (b1 b2). Derive a necessary and sufficient condition on the matrix b (i.e., bi and b2) for complete controllability of the system. (b) Same as part (a), except that 0 -1 A= 1 0
1-4 - 31 Let A= 3 and b= Show that the equation Ax=b does not have a solution for all possible b, and describe the set 4 26 of all b for which Ax=b does have a solution. How can it be shown that the equation Ax = b does not have a solution for all possible b? Choose the correct answer below. O A. Row reduce the augmented matrix [ a b ] to demonstrate thatſ A b )...
(3) 12 il 2. Find the best solution to the equation Ax = b, where: A= (1 2 and b = (1 -1) 6 .
I need all details. Thx
9. Consider a basis B = {bi, b2} of a sulspoo, W of R4 where -3 (a) Determine the coordinates of x(3,-1,-2,1) in the basis B (i.e. fnd x). (b) Suppose that bl el-C2 and b2 2c1 +c2. Determine the coordinates of x = (3.-1,-21) in the basis C = {c,,c) (i.e. find [x le) (e) Suppose t dbb an d2b 3b s D- di da a basis of W Why or why not?
9....
6) Suppose a matrix equation, Ax = b, has two solutions and ༼ཡང བ find an infinite number of column vector solutions parameterized by t. (Hint: try finding a solution to the homogenous equation Ax = 0.)
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