Matrices and transformations questions | form four Basic Mathematics

(6181) Question Category: Mathematical Calculation

  1. Given the matrices P=egin{pmatrix} 2 & -3\ 5 & 4 end{pmatrix} and Q=egin{pmatrix} 9 & 12\ -15 & 3 end{pmatrix}. Find 2P-1/3Q.
  2. If the matrix egin{pmatrix} 4k & 8\ 2 & 9k end{pmatrix} is singular , find the possible values of k.

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(6182) Question Category: Mathematical Calculation

Solve the following system of linear equations by using the inverse matrix method:

left{egin{matrix} 2x+3y=7 \ y=frac{1}{2}x & end{matrix} ight.

Answer / Solution

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(6183) Question Category: Mathematical Calculation

By using the transformation matrix egin{pmatrix} 1 & 0\ 0 & -1 end{pmatrix}, find the image of the point ​ A(-2,3). Hence, state the axis in which the point is reflected.

Answer / Solution

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(6184) Question Category: Mathematical Calculation

Find the point P (x,y) if egin{pmatrix} 2 & 3\ 4 & -1 end{pmatrix}inom{x}{y}=inom{-23}{-11}

Answer / Solution

UNSOLVED

(6185) Question Category: Mathematical Calculation

  1. Find the point P (x,y) if egin{pmatrix} 2 & 3 4 & -1 end{pmatrix}inom{x}{y}=inom{-23}{-11}
  2. A translation T maps point P(x,y) in part (a) into (3,2).  Find where it takes the point (7,4).
  3. Find the image of the point obtained in part (b) under a rotation of 90° followed by another rotation of 180° anticlockwise.

Answer / Solution

UNSOLVED

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