Question
no half answers!
Given the following system of equations 3x1 + 5x2 - 4x3 = b1 - 3xi - 2x2 + 4x3 = b2 6x1 +X2 - 8x3 = b3 Write this as matrix equation and identify A, x and b Ax = b Corresponding to matrix A there is a linear transformation T, what is this transformation and this transformation goes from what space to what space. What is the determinant for matrix and what does this tell you about matrix being invertible or not? What is a basis for the Null Space of A, what is the rank of the Null Space and what does this tell you about the linear transformation being one-to-one? What is the dimension of the Column Space of A and what does this tell you about the linear transformation being onto or not?
Explanation / Answer
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