LinearAlgebra_elementary_3 Give the elementary matrix which, when multiplied to the left of a 3 by 3 matrix, will replace row 2 by row 2 + {@avar@} times row 1.

\(\textbf{E} = \) [[input:ans1]]

[[validation:ans1]]

]]> 1 0.5 0 avar:rand_with_step(2,6,1); correctanswer:matrix([1,0,0],[avar,1,0],[0,0,1]); wronganswer1:matrix([1,0,0],[0,1,0],[0,avar,1]); [[feedback:Result]]

]]> {@correctanswer@} 1 0 0 *10 dot 1 i cos-1 lang [ 0 {"author":[{"firstName":"","lastName":"","institution":"Unknown - Legacy question","year":"2025"}],"language":["en"],"isPartOf":"STACK Library","license":"cc-sa-4.0","additional":{"UoE":{"Notes":"This is automatically generated metadata."}},"freeform":{}} ans1 matrix correctanswer 20 1 0 0 determinant, invert 1 1 1 1 1 Result 1.0000000 1 1 0 AlgEquiv ans1 correctanswer 1 = 1.0000000 -1 Result-0-T = 0.0000000 -1 Result-0-F 386876637 1073163127 1496670985 194599328 1 ans1 correctanswer Result 1.0000000 0.0000000 Result-0-T 2 ans1 wronganswer1 Result 0.0000000 0.5000000 Result-0-F