Question no 1

1. Let T' be a linear mapping with [T] = -5 -1 -2 (a) Find the C matrix of T' (ie. [T]c) with respect to basis ci . .} (b) Use [T]c to determine [T(2)]c where c = O -211 + 2.12 + 213 2. Let T be a linear operator defined by T I2 = -31 + 312 + 213 Find a -211 + 212 + 213 basis B such that s is diagonal, if possible