Answer to Question #45231 in Matrix | Tensor Analysis for Francis
a) solve the equation M [ [x] , [y], [z] ] = 3 [ [x] , [y] , [z] ]
b) solve the equation M [ [x], [y], [z] ] = 4 [ [x] , [y], [z] ]
2) A matrix S has eigenvalues 2, -3 and 5 with corresponding eigenvectors v1 = [  , [-3] , [-2] ] , v2 = [ [-2], ,  ] and v3 = [ , , ] respectively.
a) write down the values of Sv1, Sv2 and Sv3.
b) evaluate S[ , , ]
d) hence or otherwise find matrix S
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