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Matrices and transformations questions

Matrices and transformations questions | form four Basic Mathematics

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

# Question
1

Evaluate the following expression 3egin{bmatrix} 2 &4 \ -3& 1 end{bmatrix}- 2egin{bmatrix} 1 &7 \ 2& -3 end{bmatrix} + 4egin{bmatrix} 2 &-3 \ 1& -2 end{bmatrix}


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2

Find x and y given that egin{pmatrix} 4 &5 \ 2& 3 end{pmatrix} egin{pmatrix} x\y end{pmatrix} = egin{pmatrix} 3\-1 end{pmatrix}.


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3

Find the image of the point (2, 4) when it is

  1. reflected about the line y + x = 0
  2. rotated through 180° about the origin
  3. translated by the vector ar{a} = (2, 4).

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4

A triangle with vertices 0(0, 0), B(2, 0) and C(2, 3) is enlarged by the matrix egin{pmatrix} 3 &0 \ 0&3 end{pmatrix} to a triangle with vertices O', B' and C'. Draw on the same set of axes the triangles
OBC and O'B'C'.


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5

Find the image of (7, 6) under a rotation through 180° followed by another rotation of 90°


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6

A translation T maps the point (-3, 2) onto (4,3). Find where T maps

  1. The point (0,0).
  2. The point (7,4).

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7

Determine the inverse of the matrix A=egin{pmatrix} 4 & 2\ 1 & 3 end{pmatrix}


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8

Solve the following simultaneous equations by using the inverse of the matrix

left{egin{matrix} 4x+2y=40\ x=35-3y end{matrix}
ight.


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9

Find the image of point A(3, 4) after its reflection in the line y + x = 0 followed by another reflection in the line y = 0.


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10

By using the intercepts of a line y = 2x + 5, find the equation of the image of this line when it is reflected in the line y- x = 0.


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