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Solved Problem 26
Tutorial on how to compute for determinant value of 4 x 4 Matrix then use it together with Cramer's rule to solve any four simultaneous linear equations.
Acquiring knowledge and skill on how to solve for determinant of 4 x 4 matrix is important in solving any four simultaneous linear equation. In example shown below, determinant X detX, detY, detZ, and detW were computed. Then following Cramer's Rule, the solution for value of X, Y , Z, and W can be calculated.
Cramer's Rule : X = detX / determinant 4 x 4
Cramer's Rule : Y = detY / determinant 4 x 4
Cramer's Rule : Z = detZ / determinant 4 x 4
Cramer's Rule : W = detW / determinant 4 x 4
To solve for detX, you replace the constant of Xs with the constant value found on the right hand of equal sign which are 6.2, -2.2, 6.2, and 3.6
You repeat the same process for detY, detZ, and detW
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Answer, X =
detX =
Answer, Y =
detY =
Answer, Z =
detZ =
Answer, W =
detW =
determinant 4 x 4 =