If vector a is a non zero vector find a scalar k such that magn... | Filo

The following matrices have determinant zero, so each matrix must map some non-zero vector to the origin. For each matrix, find some non-zero vector it maps to the origin. (a) ( 0 1 -1 -1 0 1 1 -1 0) (b) ( 1 -2 1 2 -1 0 3 0 -1) (c) ( 1 2 3 -2 -1 0 1 0 -1) (d) ( 1 2 3 4 5 6 7 8 9) (e) ( 1 4 7 2 5 8 3 6 9). | Numera

(a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R , and (b) find the area of triangle PQR . P (0, -2, 0) , Q (4, 1, -2) , R (5, 3, 1) | Numerade