Let t andrbe two parameters. Write the equation system X1-s=-x3 3x3 + 3x1= -x2 rX3 + X2 = Xị On the fom Ax = 5 V•X1 +ū • x2+ W · X3 = b (A|5) i) ii) iii) b. We look atthe equation systemabove. i) Calculate det (A) and show what valuermust have forthe system ofequations to have exactly one solution. 1) Show what valuesrands must have forthe system of equations to have infinitely many solutions. m) Show what valuesr andsmust have forthe equationsystem to haveno solution. Let F, G and H bethree nx n matrices. Solve the following equation with respect to X, when it is knownthat the matrix F- G2 is invertīble. 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
Chapter11: Systems Of Equations
Section11.5: Cramer's Rule
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Please solve the Part (b) and (c) only. No need to solve Part (a). Question is attached below. 

Let t andrbe two parameters. Write the equation system
X1-s=-x3
3x3 + 3x1= -x2
rX3 + X2 = Xị
On the fom
Ax = 5
V•X1 +ū • x2+ W · X3 = b
(A|5)
i)
ii)
iii)
b.
We look atthe equation systemabove.
i) Calculate det (A) and show what valuermust have forthe system ofequations
to have exactly one solution.
1) Show what valuesrands must have forthe system of equations to have
infinitely many solutions.
m) Show what valuesr andsmust have forthe equationsystem to haveno
solution.
Let F, G and H bethree nx n matrices. Solve the following equation with respect
to X, when it is knownthat the matrix F- G2 is invertīble.
F(F+ X) = G²(X + H)
Transcribed Image Text:Let t andrbe two parameters. Write the equation system X1-s=-x3 3x3 + 3x1= -x2 rX3 + X2 = Xị On the fom Ax = 5 V•X1 +ū • x2+ W · X3 = b (A|5) i) ii) iii) b. We look atthe equation systemabove. i) Calculate det (A) and show what valuermust have forthe system ofequations to have exactly one solution. 1) Show what valuesrands must have forthe system of equations to have infinitely many solutions. m) Show what valuesr andsmust have forthe equationsystem to haveno solution. Let F, G and H bethree nx n matrices. Solve the following equation with respect to X, when it is knownthat the matrix F- G2 is invertīble. F(F+ X) = G²(X + H)
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