This course includes System of coordinates. Projection. Direction Cosines. Equations of planes and lines. Angles between lines and planes. Distance from a point to a plane. Co-planer lines. Shortest distance between two given straight lines. Standard equations of conicoids; spheres; ellipsoids. Hyperboloid of one sheet. Hyperboloid of two sheets. Tangent planes. Normal lines. Condition of tangency. Matrices: definition of different kinds of matrices; algebra of matrices; inverse of matrix; rank and elementary transformation of matrices; solution of system of linear equations; Eigen values and Eigen vectors; Cayley-Hamilton theorem.