1. show that 2 2 2. A square matrix ij is called diagonal if ij for that is the off-diagonal elements are zero. Show that premultiplication of a matrix A by a diagonal matrix results in matrix ...

1. show that

²

₂

2. A square matrix

_ij

is called diagonal if

_ij

for



that is the off-diagonal elements are zero. Show that premultiplication of a matrix A by a diagonal matrix

results in matrix

whose rows are the rows of A multiplied by the respective diagonal elements of
.