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Wendy Ye
For which values of constants a, b, and c are the matrices exercises 21 through 30 diagonalizable? …
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1 month ago
For which values of constants a, b, and c are the matrices exercises 21 through 30 diagonalizable? …
![Compute the following: `[[a^2+b^2, b^2+c^2],[a^2+c^2, a^2+b^2]]`+`[[2ab,2bc],[-2ac,-2ab]]`](http://i.ytimg.com/vi/6jSF-XsVbuw/mqdefault.jpg "Compute the following: `[[a^2+b^2, b^2+c^2],[a^2+c^2, a^2+b^2]]`+`[[2ab,2bc],[-2ac,-2ab]]`")
![Prove that |[a - b - c, 2a, 2a],[2b, b - c - a, 2b],[2c, 2c, c - a - b]| = (a + b +c)^3](http://i.ytimg.com/vi/F6Kll3fQIB0/mqdefault.jpg "Prove that |[a - b - c, 2a, 2a],[2b, b - c - a, 2b],[2c, 2c, c - a - b]| = (a + b +c)^3")
![Test II: Given Matrices A, B, C, and D as follows: A = [4 0] B = [a C] D = [2 2] Perform the matrix…](http://i.ytimg.com/vi/7W45vV4TEoU/mqdefault.jpg "Test II: Given Matrices A, B, C, and D as follows: A = [4 0] B = [a C] D = [2 2] Perform the matrix…")
![Show that:det [[a - b - c, 2a, 2a], [2b, b - c - a, 2b], [2c, 2c, c - a - b]] = (a + b + c) ^ 3](http://i.ytimg.com/vi/cwJx3yqzVAA/mqdefault.jpg "Show that:det [[a - b - c, 2a, 2a], [2b, b - c - a, 2b], [2c, 2c, c - a - b]] = (a + b + c) ^ 3")
