How i can the value for x y z by using a matrix

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ABDUL 2024-3-29

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https://ww2.mathworks.cn/matlabcentral/answers/2100471-how-i-can-the-value-for-x-y-z-by-using-a-matrix

回答： Gayatri 2024-4-2

calculate the values of the (x,y, and z) for the following 3*3 linear algebraic equation . Where the inputs are 𝑎1−3, 𝑏1−3, 𝑐1−3, 𝑎𝑛𝑑 𝑞1−3 𝑎𝑠 𝑣𝑒𝑐𝑡𝑜𝑟𝑠. 𝑂𝑟𝑔𝑖𝑛𝑎𝑙 𝑓𝑜𝑟𝑚 𝑜𝑓 𝑒𝑞𝑎𝑡𝑖𝑜𝑛𝑠 ∶ 𝑎1𝑥 + 𝑏1𝑦 + 𝑐1𝑧 = 𝑞1 𝑎2𝑥 + 𝑏2𝑦 + 𝑐2𝑧 = 𝑞2 𝑎3𝑥 + 𝑏3𝑦 + 𝑐3𝑧 = 𝑞3 Try the code by entering different values of vectors.

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Dyuman Joshi 2024-3-29

How would you solve this on pen and paper utilizing concepts of Linear Algebra?

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Answer 1

Gayatri 2024-4-2

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Hi Abdul,

To solve the given system of linear equations ∶ 𝑎1𝑥 + 𝑏1𝑦 + 𝑐1𝑧 = 𝑞1, 𝑎2𝑥 + 𝑏2𝑦 + 𝑐2𝑧 = 𝑞2 and 𝑎3𝑥 + 𝑏3𝑦 + 𝑐3𝑧 = 𝑞3, use the ‘linsolve’ function.

function [x, y, z] = solveLinearEquations(a, b, c, q) 
    A = [a(1), b(1), c(1); a(2), b(2), c(2); a(3), b(3), c(3)]; 
    Q = [q(1); q(2); q(3)]; 
    solution = linsolve(A, Q); 
    x = solution(1); 
    y = solution(2); 
    z = solution(3); 
end 