Q2) Use Cramer's Rule to solve the following system : y = 2 – 2x + z x - y = 7- z 2x + 2y = 4- z

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: (9y² + y - 7) + (7y² -y-4) = ]

A: We have to add 9y2+y-7+7y2-y-4

Q: x  =5u - v, y = u + 3v

A:

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: %3D 2x +30 = -4(5x-2); Prove: x= -1

A:

Q: Find curl (5z i + 6x j + 2y k). curl (5z i + 6x j+ 2y k) = ( i )i + ( i )j + ( i )k Save for Later

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Q: 5 G-45 + VE - 2)at

A: We have to find integral of the given function, here we use formula for integrating the polynomials.

Q: Please find x and y in each figur

A: Given that:                                     NOTE: As per our answering guidelines, we can only…

Q: B) fometie w= xty+y2-23, x²ry*+2?=6

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

Q: 1) Divide: 12x* – 7x3 + 7x² + x – 1 by 4x2 –- x + 2

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

Q: Use Cramer's rule and solve 6x-4z=26 7x+8y+5z=122 9x-9y=54

A: Use Cramer’srule and solve.

Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: If A = 3j + 2k, B = 2i – 2j – 2k then Ax B

A: Use cross product of vector

Q: Find the solution set to the ff: (Dª – 7D³ + 18D² – 20D + 8)y = 0 а) Сје* + (Сz + Сзх + Саx?)е2х b)…

A: We are given: D4-7D3+18D2-20D+8y=0 This can be done as follows:

Q: If z(1) = 212 + 7t - 4, find z(-1) and z(2).

A:

Q: Create an example of two diagonal matricies D1 and D2 that are similar but should not be equal.

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Q: Multiply (y- 7) and (5y² – 3z + 6).

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Q: (7y² + 12y + 6) + (6y? - 9y + 7)

A: Given (7y² + 12y + 6) + (6y² - 9y + 7) = ?

Q: Find (u + v) ∙ (2u − v) when u ∙ u = 4, u ∙ v = −5, and v ∙ v = 10.

A: u·u=4,  u·v=-5  &  v·v=10

Q: Form PDE: 2z = x2/a2 + y2/b2.

A: In the given question we have to form the PDE from the function…