6. Find the solutions by Inverse Matrix method If AX-Y and D 0, then X-A¹Y (1) (3x, -6x, = 0 (2x₁-5x₂=-1 (2) -2x+3x, 4 5x,-4x₂ =-3 x₁ - x₂ + x₁ =1 (3) ₁-2x₂ + x₁ =2 (x₂-3x₂ + x₂ =3

Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x.x1 + x2…

A: We can rewrite the system of linear equations as given below:…

Q: Solve for x, y, and z in the matrix equation

A: We simplify both sides Comparing both sides we get:

Q: Find (3)BA+ (4)AC, if possible. A = [00-2] 0-2 0 B = [] C - 3 0 1 12 1 1 -2 -1

A: The given matrices,.The objective is to find .

Q: What is the determinant of the matrix O O O 4 32 1 2 -1 3 1 2 2 3 2 -1 -1 1 2 -1 2 ?

A:

Q: The solution is: x1 = x2 -9 A=[53], ²= [2] 2 and b = —

A:

Q: 3. Let A=1 -1 4 -3 7 and B= 6 -24 -6 18 Find the matrix X that satisfies the matrix equation…

A:

Q: Consider the following system of linear equations for four real variables x1, x2, x3, X4: X2 + x3 –…

A:

Q: the inverse of the matrix A. A = ( 1₂6 )

A:

Q: a. In each part, find the matrix X solving the given equation. 8 [²9]x-[2-20]. X = -4 -6 b. [1] x =…

A:

Q: Solve the matrix equation Ax = 0.

A: Given:

Q: 2. Write the matrix equation 1 -2 -3 1 2 -3 1 3-4 = X4 as a vector equation. You do not need to…

A:

Q: -1 Suppose A, B, C, X are invertible n x n matrices. Solve the matrix equation C(B1X) = (B-²C-1) B²…

A: If A and B are nxn invertiable matrices then(AB)-1=B-1A-1

Q: se the above equation is expressed as Ax = b with x = uations in one matrix form as (Alb)= -10 -10…

A:

Q: 2. (a) Find the inverse of the matrix A. A = (1₂6) 56 (b) Use your answer from (a) to find the…

A: