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Edexcel IGCSE Math B 5 matrices

Use this Matrices hub to move from matrix arithmetic into transformation matrices, image coordinates and drawing transformed shapes on grids.

Syllabus
First assessment 2018
Course
Math B 4MB1

Covered syllabus points

5.A Matrices5.B Matrix addition and multiplication5.C Scalar multiplication of matrices5.D Identity and zero matrices5.E Determinants and inverses5.F Matrices and transformations5.G Combined transformations

5 Matrices question 1

[Maximum number: 2]
Figure for Question 5 Matrices question 1 — Edexcel IGCSE Math B

The points with coordinates (1,2),(1,5) and (3,2) are the vertices of triangle A.

Find the matrix product M(113252)\mathbf{M}\left(\begin{array}{lll}1 & 1 & 3 \\ 2 & 5 & 2\end{array}\right)

5 Matrices question 2

[Maximum number: 3]

A=(2−341),B=(504−2).A=\begin{pmatrix}2&-3\\4&1\end{pmatrix}, \qquad B=\begin{pmatrix}5&0\\4&-2\end{pmatrix}.
Calculate

Question (a)

(a)

A+B

[ 1 ]

Question (b)

(b)

2A-4B

[ 2 ]

5 Matrices question 3

[Maximum number: 6]

A=(2k2k−9−3kk+1),B=(1−53k).\mathbf A=\begin{pmatrix}2k^2&k-9\\-3k&k+1\end{pmatrix}, \qquad \mathbf B=\begin{pmatrix}1&-5\\3&k\end{pmatrix}.
The determinant of matrix A\mathbf A is equal to the determinant of matrix B\mathbf B.

Question (a)

(a)

Show that k is a root of the equation
2k3+5k2−28k−15=0.2k^3+5k^2-28k-15=0.

[ 3 ]

Question (b)

(b)

The transformation with matrix C\mathbf C, where C\mathbf C is a 2×22\times2 matrix, is equivalent to the transformation with matrix A\mathbf A followed by the transformation with matrix B\mathbf B.
Given that k is positive, find matrix C\mathbf C.

Determinant of matrix (abcd)=ad−bc.\text{Determinant of matrix }\begin{pmatrix}a&b\\c&d\end{pmatrix}=ad-bc.

[ 3 ]
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