Systems of Linear Equations (Part II)

More on Linear Systems & Inverses (Part II)

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Let the adventure begin!

Multiple Select

We can always use Gaussian Elimination to reduce an augmented matrix to row echelon form (r.e.f.).

• TRUE

• FALSE

Fill in the Blank

In general, for any systems of linear equations, how many types of solutions can we obtain?

Multiple Choice

If a linear system has r(A) = r([A|b]) < n, how many solutions does the system have?

• No solutions at all.

• Unique solution.

• Infinitely many solutions.

Luckily I did pay attention last week! Phew~

What? So easy?

Okay, here are some stranger things...

Multiple Select

Pick all the correct answers.

• This is an identity matrix.

• This is not a matrix in row echelon form.

• This is a diagonal matrix.

• This is an upper triangular matrix.

• This is a square matrix.

Multiple Select

All SQUARE matrices are invertible.

• TRUE

• FALSE

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I GOT THIS!!

Multiple Choice

I use _______ to further reduce a matrix to reduced row echelon form (r.r.e.f.).

• Gaussian Elimination

• Gauss Jordan method

• None of these

Multiple Choice

I can solve for the infinitely many solutions of a homogeneous system using different ways, except ______.

• Gaussian Elimination method

• Gauss Jordan method

• inverse of coefficient matrix

End of the adventure

Don't ask, I'm GOOD!