X1-s=-x3 3x3+ 3x1=-x2 rx3 + x2 = xi On the form Ax = 6 V•X1 + ï • x2+ w · X3 = b (A|6) i) ii) iii) b. We look at the equation systemabove. i) Calculate det (A) and show what valuermust have for the system ofequations to have exactly one solution. i) Show what valuesrands must have for the system of equations to have infinitely many solutions. m) Show what valuesr andsmust have for the equationsystem to have no solution. Let F, G and Hbethree nx n matrices. Solve the following equation withrespect to X, when it is knownthat the matrix F - G2 is invertible. F(F + X) = G²(X +H)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
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Please solve the Part (b) and (c) only. No need to solve Part (a). Question is attached below. 

X1-s=-x3
3x3+ 3x1=-x2
rx3 + x2 = xi
On the form
Ax = 6
V•X1 + ï • x2+ w · X3 = b
(A|6)
i)
ii)
iii)
b.
We look at the equation systemabove.
i) Calculate det (A) and show what valuermust have for the system ofequations
to have exactly one solution.
i) Show what valuesrands must have for the system of equations to have
infinitely many solutions.
m) Show what valuesr andsmust have for the equationsystem to have no
solution.
Let F, G and Hbethree nx n matrices. Solve the following equation withrespect
to X, when it is knownthat the matrix F - G2 is invertible.
F(F + X) = G²(X +H)
Transcribed Image Text:X1-s=-x3 3x3+ 3x1=-x2 rx3 + x2 = xi On the form Ax = 6 V•X1 + ï • x2+ w · X3 = b (A|6) i) ii) iii) b. We look at the equation systemabove. i) Calculate det (A) and show what valuermust have for the system ofequations to have exactly one solution. i) Show what valuesrands must have for the system of equations to have infinitely many solutions. m) Show what valuesr andsmust have for the equationsystem to have no solution. Let F, G and Hbethree nx n matrices. Solve the following equation withrespect to X, when it is knownthat the matrix F - G2 is invertible. F(F + X) = G²(X +H)
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