1 2 21 Let A = -4 1 |and b = If the least-squares solution of 1 X1 Ax = b is then the value of X1 is A and the value of X2 X2 is

Q: Find a nontrivial solution of v¹Q = 0¹ using the fact that the first and second rows of Q are…

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Q: 2 x = →* Find the least-squares solution of the system G 3 1 |x= 5 -4 -4 32

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Q: Minimize g = 7 + 6y subject to 5x + 2y > 16 3x + 7y 2 27

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Q: Find the least squares solution of the system Ax = b. 2 1 -0-0 1 1 b 1 2 X = A = ↓ 1 -2 3

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Q: Given V = -2 10 2 -6 -6 1 8-9 and -4 -2 -10 find the closest point to in the subspace W spanned by

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the least-squares solution * of the system 1 -10 [4] 24 = -1 4 48 2 x = 4

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Q: *× X || Find the least-squares solution X of the system 1 -2 -5 600 -1 2 5 4 27

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Q: A U V = 3 || -1 3 1 1 || When factoring A as UEVT, V has has 3 rows and 3 columns. has 2 rows and 3…

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Q: Compute the least-squares error associated with the least-squares solution x of Ax = b. 1 -4 4 580 -…

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Q: X1 – 3r2 4x1 + 2x2 Find the least square solution to the system 3

A: We will proceed as further for finding the least squares solution for given set of equations

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Q: 2 3 0 1 B:= |1 2 1 1 2 1-1 0 := |1 0 1 1 0 0 0 0 1101 Q2. Let (a) Determine if x is in row(B). (b)…

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Q: Find a least-squares solution of the inconsistent system Ax = b, and determine the least-squares…

A: We have to find the solution of given inconsistent system Ax = b using least square method and to…

Q: 9. Find the least-square solution of Ax = b, where 1 -2 3 -1 2 1 A = and b= 3 -4 2

A: Given matrices: A=1-2-120325 and b=31-42 Now, Ax=b 1-2-120325x1x2=31-42 Finding ATA:

Q: system Find the least-squares solution of the 1 -1 1 X = -4 -8 ** .

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Q: Suppose the following system is consistent for all possible values of f and g. What must be true…

A: We can find the values of c and d for consistent solution.

Q: minimize Z = 8x +212 subject to 2r, - 6x, s 12 5x, + 4x2 40 X1 + 2r, 12 X2 S 6 X1, X2 20

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Q: Find the least-squares solution * of the system [HE] 1 -17 4 5 -5 x-[=] == 2 -2 13

A: The given system

Q: ** →→* X →** Find the least-squares solution x of the system -1 4 6 Hil X = 6 -16 1 4

A: Given system is Ax→=b→Finding normal equation: (ATA)x→∗=ATb→Then least square solution is…

Q: Find the least-squares solution x of the system 1 -5 -1 1 1 35 ||

A: Given that

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A: Given, A=152-2-11, b=325 AX=b 152-2-11xy=325 find ATA and ATb AT=12-15-21

Q: (b) Find all the least squares solutions to Ax=b. You may use the fact that ATA 0 A¹6 to answer this…

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Q: We proceed to complete the squares in x and in y. x²2²-2x+4y² + 8y + 1 = 0 x² - 2x + 4y² + 8y = -1…

A: (x+a)2=x2+a2+2ax(x-a)2=x2+a2-2ax

Q: Please answer step by step and write clearly

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Q: Ifequation (a2 + 2)2 - (b + 4)(a + 3a2 + 2) + (b+3)(a2 + 1)2 0 has atleast one real solution, then…

A: Any quadratic polynomial Ax2+Bx+c=0 has real solution if B2-4AC ≥ 0

Q: Compute 6x3 + 4x2- 7x + 40 dx. x2 7. 80 + C x2 40 3x2 + 4x- 7In|x| + + C O 18x2+ 8x-7+C 2x 40 O 3x2…

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Q: Apply Gauss Elimination method to triangularize the following set of quadratic equations. X1 + 4x2 –…

A: The given equations are  x1 + 4x2 - x3 = - 5 x1 + x2 - 6x3 = - 12 3x1 - x2 - x3 = 4 In the matrix…

Q: Find the least-squares solution of the system fe || II 1 3 2 4 x 6 E 16

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Q: Find the least-squares solution î of the system 1 1 -1 6 1

A: Least square solution of system Ax = b is  A^(T) Ax = A^(T) b

Q: Find the least squares solution of the system below

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Q: Find the least-squares solution ** of the system 2 -4 x 2 || 13 -16 15

A: On solving this we will get

Q: Find the least-squares solution of the system 1 1 1 1 1 -1 6 6

A: Consider the given system .We know that the least square solution of a system  is the solution of .

Q: 3.02 5.08 Given V = 2.76 10 -6 find the closest point to in the subspace W spanned by -4 and -2 -10

A: As per the guidelines I am answering only one question at a time.   The closet point to v→ in the…