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1. Calculate the determinants
а) b) c)
2. Solve the given system of linear equations using a) Cramer’s Rule; b) matrix method; c) Gauss’ method. Compare the results:
3. Calculate the value of the following expression А -4(ВА-Е)+5(А+В) with given matrix A and B: А= , В= .
4. Given the vertices of a triangular A(1;1;5),B(-2;0;7),C(-3;-2;5). Find the projections of the following vectors on the coordinate axes and the angle В.
5. Calculate the area of the parallelogram formed on the following vectors а =(1;2;4), b =(5;1;2).
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