1. true/false Every square matrix A has an inverse A^-1 such that A(A^-1)=(A^-1)A=I .
2. true /false If A is an invertible 3x3 matrix and v=[1 2 3]^T , there exists some vector u such that Au=v .
3. true/ false If A is a 3x3 matrix with eigenvalues 0,1,2 , then there are three distinct eigenvectors corresponding to each of these eigenvalues.
4. true/ false If the eigenvalues of a 3x3 matrix A are 0,1,2 , then the eigenvalues of A+I are 1,2,3 if I is the identity matrix.
5. true/false The matrix with ones in every entry is invertible.
6. true/false If A is invertible and B is invertible and AB is invertible then A+B is invertible.
2007-05-01
13:43:20
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3 answers
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asked by
NV
1
in
Mathematics