1.4.12 Matrix Transformations

Condition: for each its own value \ (\ lambda \) matrix \ (a = \ left (\ begin {array} {cccc} 41 /25 & 0 & 12/25 \\ 0 &3 \\ 12 /25 & 0 & 34 /25 {array} \ right) \) by the Gauss method to find all its own vectors \ (\ bar {x} \ neq \ overLine {0} \) and make checks of all the pairs found \ (\ \ lambda, \ bar {x} \} \) (should be \ (a \ bar {x} = \ lambda \ bar {x} \)).