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Matrices are used in most scientific fields. They are usually used to represent and manipulate a number of measures simultaneously.
For example, they are used to represent and solve systems of simultaneous equations. In basic mechanics could represent the coordinates of the location of particles or specific locations on a rigid body. Joint probability distributions - for n variables - are represented, using matrices, as surfaces in n+1 dimensional space.
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Can the elimnation matrices only be applied to square matrices?
Only square matrices have inverses.
What is the singular form of matrices?
The singular form of matrices is matrix.
How can you use a sentence using matrices?
Which one of those matrices is more comfortable to sleep on?
How can you use matrices to solve real world problems?
Matrices are tools to solve linear equations. Engineers use matrices in solving electrical problems in circuits using Thevenin's and Norton's theories.
When adding or subtracting matrices do the dimensions of the sum or differences always match the original matrices?
Yes, because otherwise addition and subtraction are not defined.
