System Setup with 2×2 Matrices

00:00 4 marks

  • Build Confidence
  • HL
  • Tier 4
  • Systems of linear equations
  • Matrix representation
  • Matrices
  • AX=B form

Given the system of equations:

1) 3x + 2y = 5
2) x – 4y = -2

set up the corresponding matrix equation in the form \(AX = B\).

Hint Hint

Hint

Recall that in the matrix equation \(AX=B\), matrix A is composed of the coefficients of the variables, vector X contains the variables, and vector B contains the constants.

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Complete Answer

A = [[3, 2], [1, -4]], X = [[x], [y]], B = [[5], [-2]]

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