Matrices Questions and Answers - Form 3 Topical Mathematics

Share via Whatsapp

Questions

  1. Given that A is matrices q1m1and A-1 ismatrices q1m2
    Find the value of a and b in the expression:
    matrices q1m3(3 mks)
  2. Solve for the unknowns given that the following is a singular matrix.
    matrices q2
  3. Given that A = matrices q3m1and B = matrices q3m2and that C = AB, find C-1
  4. B is a matrix matrices q4m1and C is the matrix matrices q4m2
    If A is a 2 x 2 matrix and A x B = C. determine the matrix A.
  5. An object of area 20 cm2 undergoes a transformation given by the matrix  matrices q5m1followed by matrices q5m2 find the area of the final image
  6.  Find the matrix B such that AB = I and A = matrices q6m1Hence find the point of intersection of the lines 3x + 2y = 10 and 3y – 4 = x.
  7. Given that P = matrices q7m1and Q = matrices q7m2find the matrix product of PQ. Hence solve the simultaneous eqution below
    2x – 3y = 5
    - x + 2y = – 3
  8. Solve for x and y in the following matrix equation using elimination method
    matrices q8
  9. A triangle XYZ , X (-1, -1) , Y (-2, -4) Z (-6 , -9) is reflected in the line X axis followed by a reflection in line X= Y. Find the image of the final image
  10. Triangle ABC is the image of triangle PQR under a transformation M matrices q10mQwhere P, Q, R map onto A, B, C respectively.
    1. Given the points P (5, -1) Q (6, -1) and R(4, - 0.5) draw the triangle ABC on the grid provided.
    2. Triangle ABC in (a) above is to be enlarged by scale factor 2 with centre at (11, - 6) to map onto A1B1 and C1. Construct and label triangle A1B1 and C1 on the same grid.
    3. By construction, find the coordinates of the centre and the angle of rotation which can be used to rotate triangle AIBICI onto triangle AIIBIICII whose coordinates are (-3, -2) , (-3, -6) and (-1, -2) respectively.
  11. Triangle ABC with an area of 15 cm2 is mapped onto triangle AIBICI using matrix M = matrices q11m1. Find the area of triangle AIBICI.
  12. T is a transformation represented by the matrix matrices q12m1 under T a square whose area is 10cm2 is mapped onto a square of area 110cm2. Find the possible values of X
  13. Triangle A1B1C1 is the image of ΔABC under a transformation represented by the matrix
    M = matrices q13m1
    If the area of triangle A1B1C1 is 54cm2. Determine the area of triangle ABC
  14. Find the matrix B such that AB = I and A = matrices q14m1 . Hence find the point of intersection of the lines 3x + 2y = 10 and 3y – 4 = x

Answers

  1.  
    matrices ans1
  2. (x-3) – (2x) = 0
    x-3-2x = 0
    -2x + x – 3 = 0
    -x -3 = 0
    x=3
  3.  
    matrices ans3i
    Determinant = + 65 – 49 = 16
    matrices ans 3ii
  4.  
    matrices ans4

  5. 20x (-3 - -8)
    100 area of 1
    st image.
    100 x (4 -
    -3)
    700 area of 2
    nd image
  6.  
    matrices ans6
  7.  
    matrices ans7
  8.  
    matrices ans8
  9.  
    matrices ans9
  10.  
    matrices ans10i

    matrices ans10ii
    matrices ans10iii
  11. Det 2 - -3 = 5
    Area of A
    IBICI = 5 x 15
    = 75 cm
    2
  12. A.S.F = 110 = 11
                 10
    5X (X) - -6 = 11
    5X
    2 + 6 = 11
    5x
    2 = 5
    X
    2 = 1
    X = ±
    1 
  13. Area of the image = Area of the object x Det.
    Det. (
    ) = 15 – 18 = -3
    54 cm
    2 = A x -3
    54 cm
    2 = A
     3
    Area of
    ABC = 18 cm2
  14.  
    matrices ans14

Download Matrices Questions and Answers - Form 3 Topical Mathematics.


Tap Here to Download for 50/-




Why download?

  • ✔ To read offline at any time.
  • ✔ To Print at your convenience
  • ✔ Share Easily with Friends / Students


Join our whatsapp group for latest updates
.
Subscribe now

access all the content at an affordable rate
or
Buy any individual paper or notes as a pdf via MPESA
and get it sent to you via WhatsApp

 

What does our community say about us?

Join our community on:

  • easyelimu app
  • Telegram
  • facebook page
  • twitter page
  • Pinterest