Matrices and transformations questions | form four Basic Mathematics

Find Matrices and transformations examination questions, form four Basic Mathematics in acaproso.com

#	Question
1	Given $A=egin{pmatrix} 2 & 6\ 4 & 8 end{pmatrix}$ Find A^-1. Use the results obtained in part (a) to find the point of intersection of the following system of simultaneous equations: $left{egin{matrix} 2x+6y=22 \ 4x+8y=32 & end{matrix} ight.$ Find the image of the point obtained in part (b) above under a rotation 90° anticlockwise. Mathematical Calculation
2	Find the value of k such that the matrix $egin{pmatrix} 2k+2 & k \ 4k-3 & k+ end{pmatrix}$ is singular. Mathematical Calculation
3	The vertices of ABC are A(1,2), B(3,1) and C(-2,1). If triangle ABC is reflected on the x-axis, find the coordinates of the vertices of its image. Mathematical Calculation
4	Solve the following simultaneous equations by matrix method. $left{egin{matrix} 2x+3y-2=0\ -9y+8x-1=0 & end{matrix} ight.$ Mathematical Calculation
5	Reflect the point (1,2) in the line x+y=0. Mathematical Calculation
6	Find the enlargement matrix which maps the point (-3,4) into (18,-24). Mathematical Calculation
7	It is given that $A=egin{pmatrix} 2 & 4 \ 3 & 1 end{pmatrix}$ , $I=egin{pmatrix} 1 & 0 \ 0 & 1 end{pmatrix}$ and k is a real number . Find the matrix A-kI Show that the matrix in (i) above has no inverse if k²-3k-10=0. Mathematical Calculation