Homework SourseFind the kernel of each of the following linear transformati
Find the kernel of each of the following linear transformations. T: m_22 rightarrow m_22 defined by t {a b c d] = [a b 0 d] T:R^2 rightarrow R defined by (x_1 x_2) = debt [x_1 1 x_2 1]![Find the kernel of each of the following linear transformations. T: m_22 rightarrow m_22 defined by t {a b c d] = [a b 0 d] T:R^2 rightarrow R defined by (x_1](/WebImages/36/find-the-kernel-of-each-of-the-following-linear-transformati-1109084-1761587625-0.webp "Find the kernel of each of the following linear transformations. T: m_22 rightarrow m_22 defined by t {a b c d] = [a b 0 d] T:R^2 rightarrow R defined by (x_1")
Solution
We know that the kernel of a linear transformation T is the set of all vectors v such that T(v) = 0
[ 0 d ] [ 0 0 ] [ c 0 ]
[ x2 1 ]
