Q.NO.1: Solve the system of equation by using matrix equation X = A'Band find A by elementary row operation or by Ad joint Method. (5)x- 2y- 3z= 0x+4y +4z= 103x +7y+9z 4-w- 2x-4y- 6z = 6w +w +rch%232$%&8934589ERPDGK3.. ..国同工

we have given the linear system of the equation -x-2y-3z=0w+x+4y+4z=10w+3x+7y+9z=4-w-2x-4y-6z=-6 we…

Answered: Q.NO.1: Solve the system of equation by…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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By using the method of least squares, find the best parabola through the points: (-1,-3). (1,3). (-2,-3). (0,-3) Step 1. The general equation of a parabola is c₂+₁+c₂2²-3. Plugging the data points into this formula gives a matrix equation Ac=y. 1 ATA- ATy= 1 Step 3. Solving the normal equation gives the answer -8 which corresponds to the formula a Step 2. The matrix equation Ac=y has no solution, so instead we use the normal equation A¹A = A¹y O 0 3
Find all solutions of the system (E) of linear equations -109z + 30y + 25z 6. 25z 7y + ly 6z 1 -3r 1z -4 Answer, step 1: The RREF of the augmented coefficient matrix of (E) is. B. Answer, step 1: (enter 1' for a true answer, and enter '0' for a false answer). The system (E) has infinitely many solutions The system (E) has exactly one solution The system (E) has no solutions Moreover, these solutions are: t + span{a, b} for nonparallel vectors a and b. For a vector that's not applicable enter -99' in each of its positions: if you mark a inapplicable, then b must be inapplicable also. t = b%3D Check
Write the following system in the Matrix form AX=B (2x + 3y + z = 4 (S):3x + 3y + z = 8 (2x+4y+ z = 5 1. (4 a. A =3 3 1, X = (y ) and B =8 1 1" b. A =3 3 12 5. (4 1), X = (y) and B =8 12 4 (2 1' (5' c. A =3 3 1), X = y) and B =8 .2 4 d. None of these 234r
Consider the system of linear equations 2x₁ + 2x₂2x3 −5 x₁ + x₂ − X3 = 4x₁8x₂ + 8x3 (a) Write down the coefficient matrix A of this system. (b) Write down the augmented matrix A' of this system: (c) Find the rank of these matrices: rank(A) : = and rank(A') = (d) This system of equations has (No answer given) = || 2 0
9. (a) Evaluate the matrix product Ax, where A = 1. and x = 3 Hence show that the system of linear equations 7x + 5y = 3 x + 3y = 2 can be written as Ax b where b = %3D (b) The system of equations 2r + 3y – 2z = 6 x– y + 2z = 3 4x + 2y + 5z = 1 can be expressed in the form Ax = b. Write down the matrices A, x and b.
Is this how you do number 5? Is my solution correct?
Plz solve d and e part only Last 2 parts needs to be done. plz do in 30 min and gave a thumb up plz.
Use an augmented matrix to find the solution of the system 6y + 3z 34 5x + 3y 2z 52 | 4.x + 2y 2z 40 1.
7. In step 2, you solved for the unknowns x, y, and z in Eq. 9. After entering matrices A and b, you calculated the inverse matrix A-1. Then, you multiplied A- and b to find the unknowns. Can you make this process more efficient by using a single “nested" Excel command? Write this command exactly as you would type it into Excel: |

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Q.NO.1: Solve the system of equation by using matrix equation X= A'B and find A'by elementary row operation or by Ad joint Method. (5) x-2y- 3z=0 w+ x+4y+ 4z = 10 w + 3x +7y +9z 4 - w- 2x -4y - 6z = 6