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Exponents & Logarithms Rounding & Error Sequences & Series Financial Mathematics Matrices Complex Numbers

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Differentiation Integration Differential Equations

Paper 3

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Exponents & Logarithms Rounding & Error Sequences & Series Financial Mathematics Matrices Complex Numbers

Cartesian plane & lines Function Theory Modelling Transformations & asymptotes

2D & 3D Geometry Voronoi Diagrams Trig equations & identities Vectors Graph Theory

Probability Descriptive Statistics Bivariate Statistics Distributions & Random Variables Inference & Hypotheses

Differentiation Integration Differential Equations

Paper 3

Plus

Calculator Skills

Review Videos Formula Booklet All Study Sets

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Problem Bank

Problem Bank

[Maximum mark: 4]

The matrices A,B, and the column vector C are defined by:

A=(1325),B=(5−3−21),C=(21)

Additionally, it is given that:

AB=(a00a).

Find a.
[1]
Part (a):
a=
Hence, or otherwise, find A−1.
[1]
Find a column vector X such that AX=C.
[2]

Ask Plex AI about this problem

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[Maximum mark: 4]

The matrices A,B, and the column vector C are defined by:

A=(1325),B=(5−3−21),C=(21)

Additionally, it is given that:

AB=(a00a).

Find a.
[1]
Part (a):
a=
Hence, or otherwise, find A−1.
[1]
Find a column vector X such that AX=C.
[2]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!

[Maximum mark: 4]

The matrices A,B, and the column vector C are defined by:

A=(1325),B=(5−3−21),C=(21)

Additionally, it is given that:

AB=(a00a).

Find a.
[1]
Part (a):
a=
Hence, or otherwise, find A−1.
[1]
Find a column vector X such that AX=C.
[2]

[Maximum mark: 4]

The matrices A,B, and the column vector C are defined by:

A=(1325),B=(5−3−21),C=(21)

Additionally, it is given that:

AB=(a00a).

Find a.
[1]
Part (a):
a=
Hence, or otherwise, find A−1.
[1]
Find a column vector X such that AX=C.
[2]