Selftest: The determinant of a matrix

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1. Consider the matrix multiplication \mathbf{A}\cdot\mathbf{B}. Which statement describes the requirements for this multiplication correctly?

number of rows of \mathbf{A} has to equal number of colums of \mathbf{B}
number of rows of \mathbf{A} has to equal number of rows of \mathbf{B}
number of colums of \mathbf{A} has to equal number of rows of \mathbf{B}
number of colums of \mathbf{A} has to equal number of colums of \mathbf{B}

2. Which dimensions does the resulting matrix of a multiplication of an l-by-m with an m-by-n matrix have?

m-by-m
l-by-n
l-by-m
m-by-n

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