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Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesMatricesComplex NumbersFinancial Mathematics
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegrationDifferential Equations
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AIHL
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Matrices
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Problem Bank
IB Math AIHL
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Matrices
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Problem Bank

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[Maximum mark: 4]

Solve the system of equations

​
⎩⎪⎪⎪⎨⎪⎪⎪⎧​2x+y−z=3,−x+3y+2z=7,x−2y+4z=1.​
​
  1. Write the system in the form ​Ax=b​ and find ​A−1.

    [2]
  2. Hence solve for (​x,y,z).​

    [2]
[Maximum mark: 4]

Solve the system of equations

​
⎩⎪⎪⎪⎨⎪⎪⎪⎧​2x+y−z=3,−x+3y+2z=7,x−2y+4z=1.​
​
  1. Write the system in the form ​Ax=b​ and find ​A−1.

    [2]
  2. Hence solve for (​x,y,z).​

    [2]