4. Let T: R$ + R* be a linear transformation defined by T(x) Ax where the matrix A 1 2 0 1 1 3 146 0 0 1 (a) Find T(1,1,

[answerhappygod]

4 Let T R R Be A Linear Transformation Defined By T X Ax Where The Matrix A 1 2 0 1 1 3 146 0 0 1 A Find T 1 1 1 (72.94 KiB) Viewed 67 times

4. Let T: R$ + R* be a linear transformation defined by T(x) Ax where the matrix A 1 2 0 1 1 3 146 0 0 1 (a) Find T(1,1,0)'. T( 2, 1,0)' and 7(6.3.1). (b) Find a basis for T(RS), the image of T. What is the rank of T" (c) What is the nullspace of T? (d) Explain how we know that T has a left inverse, and that it does not have a right inverse, (c) Show that I : R > Ris a left inverse of T\ where Ly)By, und B : 2 06 103 0 0 1 1232+ 3 + 2 12 marks