[理工] 線代
Find the determinant of the n*n matrix
┌ ┐
│ a+b ab 0 0 … 0 0 0 │
│ 1 a+b ab 0 … 0 0 0 │
│ 0 1 a+b ab … 0 0 0 │
A = │ … … … … … … … … │
│ 0 0 0 0 … 1 a+b ab │
│ 0 0 0 0 … 0 1 a+b │
└ ┘
Let T and U be linear transformations with standard matrices A and
(A^T)A, respectively. Let T be onto.
(a) Show whether U is onto, on-to-one, or invertible.
(b) What is the dimension of the null space of U? Explain your answer.
這二題不知道怎麼下手~ 麻煩各位高手幫忙 謝謝
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04/10 13:05, , 1F
04/10 13:05, 1F
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