(a)Determine the row rank of the matrix,(adsbygoogle = window.adsbygoogle || []).push({});

1 1 1 1

1 1 2 5

2 2 0 -6

(b) What is the column rank of this matrix?

(c) What is the dimension of the solution space Mx=0

So this is my answer:

I have reduced my matrix into echelon form and i get

1 1 1 1

0 0 -1 -4

0 0 0 0

Therefore my row rank is 2 (the number of linearly independent rows)

Since by rank theorem, (row rank = column rank = determinental rank) the column rank is also 2.

And the dimension of the solution space is 2 (number of columns - rank)

Is this answer correct?

Thank you

Dylan

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Matrices (rank, dim ect)

**Physics Forums | Science Articles, Homework Help, Discussion**