The LU factorization of A = = A= 1 1 1 -1 To solve the system 2 -1 2 Ly = 0 01 1 0 0-2 -2 1 0 0 Ux: = and then solve 2 2 -2 X = -18] -3 -26 L-2 5 -4 42 using the LU factorization, you would first solve Find the solution x = -1 -3 2 is 5-4] 2 0 -2 22 2

Q: Solve for x, y and z x + 2y - z = 0 2x + 3y - 2z = 3 -x - 4y + 3z = - 2

A: x+2y-z=0            i2x+3y-2y=3        ii-x-4y+3z=-2    iiii+iii-2y+2z=-2⇒-y+z=-1…

Q: Which one of the following equations has exactly one distinct solution? O (x-4)(x+ 4) = 0 O (2x +…

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Q: then A-¹ = If Given b = x= 4 4 solve Ax = b. 4 11 -3 -9 L-1 -2 -5 2 A = -2

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Q: 5- Solve the folowing linear algebraie equations using the Gauss elimination method: 3x -2x2 + 7x3 =…

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Q: Solve, z2 - 4z + 5 = 0 Given that z, = 3 + i, z2 = 4 – 3i, z3 = -1+ 2i and z4 = -2 – 5i, determine…

A: Given equation is, z2-4z+5=0 Now, z=4±16-4×52⇒z=4±-42⇒z=4±2i2=2±i So, the solutions are z=2+i, 2-i

Q: 5- Solve the following linear algebraic equations using the Gauss elimination method: 3x, - 2x2 +…

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Q: 2x+2y-3z=5 X-y+2z=8 3x+5y-8z=-2 Reduce echelon form to solve

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Q: A. x1 + 2x2 + 3x3 = -7 2x1 – 3x2 – 5x3 = 9 — 6х1 — 8x2 + Хз — — 22

A: given system of equation x1+2x2+3x3=-72x1-3x2-5x3=9-6x1-8x2+x3=-22 claim- solve using gauss…

Q: Solve by Gauss Elimination and Back substitution 24. 3x-2y + z - 13 -2x + y + 4z - 11 x + 4y - 5z…

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Q: If a, b, c are in GP, then the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root…

A: Given a,b,c are in g.p So the ratio will be same ba=cbb2=acb=ac ---- {1}

Q: Solve each equation with the quadratic formula. 1) 4n2- 6n = 14 2) 3x - 26 = -7x 3) 7x =-x + 15 4)…

A: We can make it easier for you.

Q: Solve the equation Ax = b by using the LU factorization given for A. 100 2 -6 -2 1 10 2 - 6 -2 A= 1…

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Q: Solve for A, B, C and D in the equation A B Cx + D %3D x² (x² + 1) x2 +1

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Q: Find a non trivial solution of the equation Ax = 0, where A 8 -15-31 30 6 -10 -2

A: The non-trivial solution is any solution except zero solution.

Q: Solve the following equations: 7x1 – 4x2 + x3 = 1 -4x1 + 6x2 – 4.x3 + X4 = 1 Xi-2 – 4xj-1 + 6.x; –…

A: We have to solve the given equations.

Q: x + 2y = 72 = -2 - -2x - 5y + 2z = 1 3x + 5y + 4z = -9

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Q: 2x₁ - 7x₂ + 4x₂ = 9 X₁ +9x₂ −6x3 = 1 − 3x₁ +8x₂ +5×3 = 6

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Q: 1690 AC FAB-0.7809FBC 0 FCD+0.8575F, = 0 DE 0.9231F 0.3846F AC 0.6247FBC-FBD = 0 FBD-0.5145F Fr -FAB…

A: As per the question we are given 8 system of linear equations as : 0.9231b = 1690 -a - 0.3846b =…

Q: Which point is in the solution set for question 9? y≤-2x+5 3 y²-x-2

A: Given solution set is : I1 : y≤-2x+5I2 : y≥32x-2   To find the point that is there in the solution…

Q: 2r + 3 4r + s= 7 2r + 5s = -1

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Q: Solve using Gaus-Jordan -3x-8y-z=-74 x-5y+4z=-7 -9x+y+z=-23

A: First of all, create the augmented matrix.

Q: à = 3j - 4 k b = -3i+2j + k c = 2 i 3j - k Find d, if d = a + 25 + č d j+ - 2 + k

A: This question is about vector calculus

Q: Find the solution to an=2an-1+an-2-2an-3 for n=3,4,5,...with a0=3, a1=6 and a2=0

A: Find the solution to an=2an-1+an-2-2an-3 for n=3,4,5,...with a0=3, a1=6 and a2=0

Q: 3. 3k + 45 8k + 25 5. Sq + 6 = 2g- 2 + q %3D

A: Given,3k+45=8k+253k-8k=25-45-5k=-20 k=-20-5k=4therefore,k=4

Q: x1 and x2 are the solutions for x²+2020x+1=0 y1 and ye are the solutions for y²+2021y+1=0 find the…

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Q: Equation 1: c+g+h=f Equation 2: b+g = a Equation 3: e + h=Dd Equation 4: a + c+ d = 0 Equation 5: a…

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Q: Solve for x. 14) s - x-6 2r- 19 13 2r-18 13) M 23 4x-29

A: Simplification

Q: 6. Find the positive number that when multiplied by 15 is equal to its square subtracted from 34.

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Q: Find the solution to an=2an-1+an-2-2an-3 for n=3,4,5,...with a0=3, à1=6 and a2=0

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Q: (b) Solve the following difference equations. Уn+4 + Уn+3 13уn+2 — Уп+1+ 12yп = 3.2" + 2n -

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