Re: Even More Simultaneous Equation Solutions Message #2 Posted by Palmer O. Hanson, Jr. on 31 Mar 2006, 10:17 p.m., in response to message #1 by JasonG
Jason:
The TI83 Plus calculates the determinant of Valentin's matrix A to be zero which prevents doing an INV A * B solution on that machine.
The TI85 calculates the determinant of Valentin's matrix A to be 9.90927530944e08 which is within one per cent of the exact value of 1e07. As indicated in the first submission in this thread the TI85 gets respectable solutions for Valentin's problem whether using the INV A * B or Simultaneous Equation method.
What does the TI84 find as the determinant of A?
In a thread in 2005 I presented results from calculation of determinants for 7x7 through 10x10 Hilbert matrices as follows:
7x7 8x8 9x9 10x10
TI83+ 4.835795E25 2.737004E33 9.721266E43 0
TI85 4.835795E25 2.737004E33 9.721266E43 2.207089E53
HP49 Exact 4.835803E25 2.737050E33 9.720234E43 2.164179E53
where the surprise was that the TI83 Plus and TI85 determinants for 7x7 through 9x9 were exactly the same and quite respectable but the TI83 Plus determinant for the 10x10 Hilbert was zero. What does the TI84 yield for those calculations?
