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Q: If coefficients arent equal or opposite you can do a little manipulation so that you can still use the elimination method?
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How do you solve simultaneous equations using matrices?

There are many ways of doing this. For example Gaussian elimination, diagonalising, but the simplest to explain is matrix inversion (I'm assuming some knowledge of matrices here, and unfortunately some of the matrix formatting is a little off due to limitations in the editor): Any system of simultaneous equations can be rewritten as the matrix equation A.v = u The coefficients of the variables become the entries in the square matrix, A. To solve the matrix equation we need to invert A, and then multiply by the inverse, giving us I.v = A-1.u where I is the identity matrix. As an example take the following system of equations: 2x - 3y = 1 4x - 5y = 5 The matrix version of this equation is { 2 -3 } { x } = { 1 } { 4 -5 } { y } { 5 } A v u It's clear that if you multiply out the matrix row by row, you get the original set of equations. In our case I = { 1 0 } { 0 1 } A-1 = { -2.5 1.5 } { -2 1 } (Finding the inverse of a matrix is a whole other question) so A-1.u = { 5 } { 3 } Therefore we have x = 5, and y = 3. Inversion of A is the most difficult step, though this can easily be done with a computer.


How do you make a tiger in little alchemy?

One can find the answer to this question on how to make a tiger in Little Alchemy on the Little Alchemy forums. One might also find some FAQs for this game.


What does 4 mean with a little 2?

It depends where the little 2 is. If it is to the top right, it means 4-squared or 4 times 4 = 16.


What is the analogy cup is to mug as small is to?

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Related questions

If coefficients aren't equal or opposite can do a little manipulation so that you can still use the elimination method?

True


As the temperature increases materials with large coefficients of linear expansion increase a lot in size while materials with small coefficients of linear expansion increase a in size?

Large


Does weight loss occur through elimination?

A little...but it's offset by eating.


Do positive coefficients in a regression usually indiciate stronger predicators?

No. The sign, or size, of the coefficients indicate very little about the strength of the variable as a predictor. Often they will simply reflect the units of measurement or coding system used.


What is opposite of small?

The opposite of small is large, or sizable. (also big, opposite of little)


What is the opposite of a lot?

A few , A little A dearth.


What is the opposite of lot?

a little


What the opposite of little cabin?

No


What is a six letter meaning the opposite of 'big'?

The opposite of 'big' is little.


How does cat waste become dry?

Before elimination, if the cat gets too little fluid, they can be constipated with hard stool.After elimination, air evaporates water content from feces. This dries the waste.


What is the opposite of much?

The opposite of much is usually little or not much.(where it means many, or numerous, the opposite can be few).


What is the opposite of mucho?

The opposite of mucho (a lot) would be un poco (a little).