True or False 1. Cramer’s rule is not applicable if the system is homogeneous. 2. Integer Powers of a complex number can also be obtained by multiplying a complex number in rectangular form by itself n times. 3. If a matrix is augmented, then any row operation performed to the augmented matrix must include the entries augmented to the original one. 4. The difference between a complex number z and its conjugate is a pure imaginary number. 5. If a complex number z is situated along the real x axis, then the complex conjugate of our complex number z remains the same.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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True or False

1. Cramer’s rule is not applicable if the system is homogeneous.
2. Integer Powers of a complex number can also be obtained by multiplying a complex
number in rectangular form by itself n times.
3. If a matrix is augmented, then any row operation performed to the augmented matrix
must include the entries augmented to the original one.
4. The difference between a complex number z and its conjugate is a pure imaginary
number.
5. If a complex number z is situated along the real x axis, then the complex conjugate of
our complex number z remains the same.

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