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() [8 points) Let A € R2X3. Assume that A has rank 2. Moreover, assume that ATA has diagonaliza- tion XDXT, where X € R3
Posted: Mon May 09, 2022 10:41 am
by answerhappygod
- 8 Points Let A R2x3 Assume That A Has Rank 2 Moreover Assume That Ata Has Diagonaliza Tion Xdxt Where X R3 1 (17.2 KiB) Viewed 31 times
() [8 points) Let A € R2X3. Assume that A has rank 2. Moreover, assume that ATA has diagonaliza- tion XDXT, where X € R3x3 is an orthogonal matrix and D E R3x3 is a diagonal matrix. Find a diagonalization of AAT Hint: Let X1, 12, 13 be the eigenvalues of ATA. Start by showing that one of the eigenvalues of ATA say As, equals zero. Then continue by showing that AAT has eigenvalues and A.