Show that the block upper triangular matrix A in Example 5 is invertible if and only if both A_11…
Автор: mike perez
Загружено: 2025-07-27
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Show that the block upper triangular matrix A in Example 5 is invertible if and only if both A_11 and A_22 are invertible. IHint: If A_11 and A_22 are invertible, the formula for A^-1 given in Example 5 actually works as the inverse of A . ] This fact about A is an important part of several computer algorithms that estimate eigenvalues of matrices. Eigenvalues are discussed in Chapter 5 .
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