let T be a linear transformation from V to V. suppose V=s(1)+s(2)+,,,+s(k), where each subspace s(i) is invariant under T. if T can be represented on s(i) by the matrix Bi, show that T can be represented on V by the matrix

[B1 00000000]

[0 B2 000000]

[00 B3 00000]

[ ............... ]

[ 0000000 Bk]

i have no idea what to do. please help.