- #1
Hernaner28
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Homework Statement
PROBLEM 1:
Let A,B,C,D four matrices nxn which are submatrices of matrix 2nx2n:
[tex]E = \left( {\begin{array}{*{20}{c}}
A&B\\
C&D
\end{array}} \right)[/tex]
PROBLEM 2:
Let A a matrix nxn, B a matrix nxm and C a matrix mxm. O is the null matrix mxn.
Homework Equations
PROOF 1:
Say whether it's false or true that:
[tex]\det (E) = \det (A)\det (D) - \det (B)\det (C)[/tex]
PROOF 2:
Proof that:
[tex]\det \left( {\begin{array}{*{20}{c}}
A&B\\
O&C
\end{array}} \right) = \det (A)\det (C)[/tex]
The Attempt at a Solution
No idea how to start. I know this is true for numbers but how can I make it generic for matrix? Just an idea?
Thanks!