Spencer Griffiths
10/19/2024 · Senior High School
4. Determine the rank of the matrix \( \left[\begin{array}{cccc}8 & 1 & 3 & 6 \\ 0 & 3 & 2 & 2 \\ -8 & -1 & -3 & 4\end{array}\right] \) 5. Prove that the set of all second order real square matrices is a vector space over real field with respect to matrix addition and multiplication of a matrix by a real number.|
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1. The rank of the matrix is 3.
2. The set of all second order real square matrices forms a vector space over the real field with respect to matrix addition and scalar multiplication.
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