1) Mathematical modelling of climate may employ basic understanding of simultaneous equations'. In this line, consider the three hypothetical "toy" simultaneous linear equations below: 3x + 2y + z = 11; 2x + 3y + z = 13; x + y + 4z = 12; (a) Solve for the value of x, y, and z which satisfy all the three simultaneous equations using either substitution or elimination method in college algebra. .. (b) Now, solve for the value of x, y, and z which satisfy the same simultaneous equations using Cramer's rule in matrix theory. Did you get the same results as in (a)? .

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Author:Erwin Kreyszig
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1) Mathematical modelling of climate may employ basic understanding of simultaneous equations1.
In this line, consider the three hypothetical "toy" simultaneous linear equations below:
3x + 2y + z = 11;
2x + 3y + z = 13;
x +y + 4z = 12;
(a) Solve for the value of x, y, and z which satisfy all the three simultaneous equations using
either substitution or elimination method in college algebra. .
(b) Now, solve for the value of x, y, and z which satisfy the same simultaneous equations using
Cramer's rule in matrix theory. Did you get the same results as in (a)?.
Transcribed Image Text:1) Mathematical modelling of climate may employ basic understanding of simultaneous equations1. In this line, consider the three hypothetical "toy" simultaneous linear equations below: 3x + 2y + z = 11; 2x + 3y + z = 13; x +y + 4z = 12; (a) Solve for the value of x, y, and z which satisfy all the three simultaneous equations using either substitution or elimination method in college algebra. . (b) Now, solve for the value of x, y, and z which satisfy the same simultaneous equations using Cramer's rule in matrix theory. Did you get the same results as in (a)?.
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