Steps for solving linear equations with 3x3 systems?

Find (x,y,z) from the following 3part linear equation: x+y-z=-8 -x+y+z=2 2x-y+z=8

Solving an equation involving 3 variable and 3 equations

Please help me solve the following system of three equations and discribe the methods that are being used to help me understand: X + Y + Z = 6 2X - Y + 3Z = 8 3X - 2Y - Z = -17 Thank you!

Liner Algebra / Linear Operators

See attached document. Please use only elementary theorems about linear operators, transformations, and definitions of invertibility.

Matrix relative to a basis for a linear transformation.

--- Let be the linear transformation defined by . a) If is the standard ordered basis for and is the standard ordered basis for what is the matrix of T relative to the pair b) If and , where , , , , what is the matrix T relative to the pair --- See attached file for full problem description.

Proof

(See attached file for full problem description) --- Let V be a two-dimensional vector space over the field F, and let be an ordered basis for V. If is a linear operator and then prove that ---