Solve the following systems using Cramer’s rule. 2x1 + 2x2 - x3 = 3 3x1 - 4x2 + 2x3 = 1 8x1 - x2 - 3x3 = 4

Q: (3x – 4)(x + 6) = 0

A: To find the values of x (3x-4)(x+6)=0

Q: 3x: - 2x2 + 2x3 = 0 6. Solve *, + 2x2 – 3x3 4x1 + x2 + 2x3 = 0 = 0. by Cramer's rule

A: Given that  By solving the equations by cramers rule

Q: If possible, write -11 - 6z + 5z? as a linear combination of -2 - z+ z?,2 - z? and 5 +z- 2r?.…

A: We have to show whether -11-6x+5x2 can be written as a linear combination of  -2-x+x2,  2-x2  and…

Q: If x=y, then 6+4(x-y)=

A: Here the given condition is x = y.That is, the value of x and y are same.

Q: Multiply (x + 5) (4x – 5) O 4x2 + 30x – 25 O 4x2 - 15x - 25 O 4x2 + 15x – 25 O 4x2 - 30x - 25

A: We need to simplify the following expression x+54x-5

Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

A:

Q: There are two roller coasters that have cars travelling at the same time. The heights of the…

A:

Q: 5+2-5+p 13) 3. 3) 28

A: Given: The equation 53p+23=5+p2p, To determine: The value of p,

Q: 2 1 x²dx -3x

A: Given:

Q: Example 8: V-9x + 28 = -x + 4

A: topic - quadratic equations

Q: (x2y2)2

A:

Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: – 4(- 7x – 5y + 9z)

A:

Q: (−1)n 4n (2 (x+3)" | with = Given the Power Series f(x) => n=0 ROC: Ra and IOC: (b, c)

A:

Q: verify that 3(A + B) = 3A + 3B

A:

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: √(8 x +4) =6

A:

Q: x² - 5x + 6.+3 x² -9 5x-10 and write the answer in simplest form

A: Given: x2-5x+6x2-9×x+35x-10 To multiply the answer and write in simplest form.

Q: Use Cramer's rule to find only the value of x2 , where a is a positive real number. 2x2 – x3 + x4 =…

A:

Q: 2x+3x₂-x₂ = 7 3. Use Cramer's rule to solve 3x, -5x₂ =4 x₁ + x₂ = 5

A:

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 f(x) = x³ + x4 + ax³ + 4x² – : 32x + b is divisible by x² – 36, find the values of a and b.

A: We will find out the required values.

Q: 3p-8-13-4p

A: Given, 3p-8=13-4p

Q: (b). Apply the indicated operator A2 (x³ + 6x² + 2x).

A: Here, he function is x3+6x2+2x

Q: さメー3)(2x)

A:

Q: What

A:

Q: (7y² + 12y + 6) + (6y? - 9y + 7)

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