Question

Express A in the form A=L1DU1 where L1 is the lower triangular with 1's along the main diagonal, U1 is the upper triangular, and D is a diagonal matrix, given A=[(2 1 - 1) (-2 - 1 2) (2 1 0)]​

Answer 1

attached below

Explanation:

Given that

A =
`\left[\begin{array}{ccc}2&1&-1\\-2&-1&2\\2&1&0\end{array}\right]`

Expressing A in the form =
`L_(1) DU_(1)`

attached below