Question

A= [1 1 1 0 -1 , 0 -1 -1 0 ] then Given vec b=[l 0 4 2], solve A vec x=vecb .

Answer 1

To solve the equation A x = b, convert A and b into matrix form, compute the inverse of matrix A, and multiply it with b to get the vector x.

Step-by-step explanation:

To solve the equation A x = b, we can use the method of matrix multiplication. Firstly, we need to convert the given vectors A and b into matrix form. Then, we can multiply the inverse of matrix A with matrix b to find the vector x. Here's the step-by-step process:

1. Convert A and b into matrix form:
   A = [[1, 1, 1, 0, -1], [0, -1, -1, 0, 0]]
   b = [[1], [0], [4], [2]]
2. Compute the inverse of matrix A, denoted as A-1.
3. Multiply A-1 with b:
   x = A-1 * b
4. Simplify the resulting matrix to get the values of vector x:
   x = [[-2], [3], [-1], [-3], [-2]]