After making a change of variable, the quadratic form x+ x+ x + 6x1x2 + 14x1x3 + 6x2X3 is transformed into the quadratic form 2 10( ax1+bx2+c3 d ax1+Bx2+yx3 6. rai+sr2+tx3 with no cross-product term. Then the value of a is the value of b is the value of C is A , and the value of d is
After making a change of variable, the quadratic form x+ x+ x + 6x1x2 + 14x1x3 + 6x2X3 is transformed into the quadratic form 2 10( ax1+bx2+c3 d ax1+Bx2+yx3 6. rai+sr2+tx3 with no cross-product term. Then the value of a is the value of b is the value of C is A , and the value of d is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:After making a change of variable, the quadratic form
x + x+ x + 6x1x2 +14x1x3 + 6x2x3 is transformed into the
3.
2.
quadratic form
2
2
10(
ax1+Bx2+yx3
6.
ra1+sx2+tx3
10 ar1+bx2+cx3
d.
with
no cross-product term. Then the value of a is
the value of b is
the value of C is
and the value of d is
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