(question corrected) if A = [5000;0500;0050;0005] - [1111;1111;1111;1111], and A
ID: 3079017 • Letter: #
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(question corrected) if A = [5000;0500;0050;0005] - [1111;1111;1111;1111], and A^-1 = [2/5 1/5 1/5 1/5; 1/5 2/5 1/5 1/5; 1/5 1/5 2/5 1/5; 1/5 1/5 1/5 2/5], then what will be "k" and "h" in A_2 = [k000;0k00;00k0;000k] + [hhhh;hhhh;hhhh;hhhh] which makes inverse of A_2 = inverse A? (it means subtraction with k=5,h=1 and addition k=?,h=? makes same inverse. so need to find k&h; for addition) Also what will be "k" and "h" in 5*5 matrix B = [70000;07000;00700;00070;00007] - [11111;11111;11111;11111;11111], B^-1 = [3/14 1/14 1/14 1/14 1/14; 1/14 3/14 1/14.....]?Explanation / Answer
Matrix A is: 4 -1 -1 -1 -1 4 -1 -1 -1 -1 4 -1 -1 -1 -1 4 Inverse Matrix A we get by the above= 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 But we have it as A-1; A^-1 = [2/5 1/5 1/5 1/5; 1/5 2/5 1/5 1/5; 1/5 1/5 2/5 1/5; 1/5 1/5 1/5 2/5] Which satisfy the values k=5 & h=1; In Matrix A_2 = [k000;0k00;00k0;000k] + [hhhh;hhhh;hhhh;hhhh] Value of K & h be k=5, h=1 satisfy the given condition. b) The same way: B^-1 = [3/14 1/14 1/14 1/14 1/14; 1/14 3/14 1/14.....] k=14 & h=3 satisfys it
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