4.3 Find the n-th power of matrix A, that is, A". It is not necessary to explicitly compute . You can just express the result in terms of P and .

5. Let matrix that is composed of tirere column vestors Find the QR-decompostion of A, ie, A=OR where Q is a 3xs matix with ortionormal colann vectors and R is a 3x3 invertible upper triangular matrix. Hint: use Gram-Schmidt process to transform the basis vectors of the three column vectors in A into an orthogonal basis, and then normalize the orthogonal basis vectors to obtain an orthonormal basis corresponding to the column vectors q1,q2,q3 in matrix Q. The entry of matrix R is the inner product of vectors .

題組內容

4.3 Find the n-th power of matrix A, that is, A". It is not necessary to explicitly compute . You can just express the result in terms of P and .

相關申論題

相關試卷