What i doing during late in night. I wanted to polish my drawing skill, so i go and search for the anime character and draw it based on the picture. Just hope that It wont be too ugly.
det (2A) = 2 det(A) Prove it is true or false. So from above we can see tat the statement is false. However ....... matrix 1x1, [9] Although the general equation is false, but in matrix 1x1 with specific example have proven that the statement is true. So we can conclude that the statement is sometime false.
If det (A) = 1 and all entry (entries) in A is an integer, then all income in A ^ (- 1) is also an integer. Ans: By using the adjoint method to find the inverse of a matrix, we know that A ^ (- 1) = 1 / | A | (adj (A)) and if det (A) = 1 then, A ^ (- 1) = adj (A). The next step is to compute the adjoint matrix of cofactors and cofactor do tansposisi the matrix in which all entry (entries) in A are integers will cause cofactor searched, they also are in the form of an integer. Therefore, all proceeds in A ^ (- 1) is also an integer where A ^ (- 1) = adj (A) after adj (A) is an integer. In short, if det (A) = 1 and all entry (entries) in A is an integer, then all income in A ^ (- 1) is an integer also been proved.
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