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If X1, X2 , ... , Xn are matrices of the same dimensions and a1, a2, ... an are constants, then
Y = a1*X1 + a2*X2 + ... + an,*Xn is a linear combination of the X matrices.
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Which is the branch of mathematics that includes Matrices vector logic?
Linear Algebra
Does the range of linear equations have all real numbers?
No. For example, linear algebra, for example, is about linear equations where the domain and range are matrices, not simple numbers. These matrices may themselves contain numbers that are real or complex so that not only is the range not the real numbers, but it is not based on real numbers either.
How matrices used in engineering?
If you have a system, which can be expressed as a set of linear equations, then you can utilize matrices to help solve it. One example is an electrical circuit which uses linear devices (example are constant voltage sources and resistive loads). To find the current through each device, a set of linear equations is derived.
Where are matrices used?
Matrices are used in pretty much any situation where several linear equations are involved. They're used all over the place in physics, chemistry, engineering, and economics. I linked a site below with more information.
What is the domain for linear functions?
It can be anything that you choose it to be. It can be the whole real line or any proper subset - including disjoint subsets. It can be matrices, all of the same dimensions (Linear Algebra is based on them) or a whole host of other alternatives.
What has the author Toshinori Munakata written?
Toshinori Munakata has written: 'Matrices and linear programming with applications' -- subject(s): Linear programming, Matrices 'Solutions manual for Matrices and linear programming'
Why rectangular matrix have no inverse in linear algebra?
Inverse matrices are defined only for square matrices.
Which is the branch of mathematics that includes Matrices vector logic?
Linear Algebra
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.
Who discovered solving linear system equations by using matrices?
Arthur Cayley
Does the range of linear equations have all real numbers?
No. For example, linear algebra, for example, is about linear equations where the domain and range are matrices, not simple numbers. These matrices may themselves contain numbers that are real or complex so that not only is the range not the real numbers, but it is not based on real numbers either.
What is the answer for -4x 4y-8 and x-4y-7 using matrices?
The question contains expressions, not equations. It is not possible to solve linear expressions - whether you use matrices or not.
How matrices used in engineering?
If you have a system, which can be expressed as a set of linear equations, then you can utilize matrices to help solve it. One example is an electrical circuit which uses linear devices (example are constant voltage sources and resistive loads). To find the current through each device, a set of linear equations is derived.
What has the author H Neill written?
H. Neill has written: 'Vectors matrices and linear equations'
What has the author Charles Gordon Cullen written?
Charles Gordon Cullen has written: 'Matrices and linear transformations'
What has the author Zygmunt Dowgird written?
Zygmunt Dowgird has written: 'Krakowiany i ich zastosowanie w mechanice budowli' -- subject(s): Algebras, Linear, Linear Algebras, Matrices
What has the author Kent Franklin Carlson written?
Kent Franklin Carlson has written: 'Applications of matrix theory to systems of linear differential equations' -- subject(s): Differential equations, Linear, Linear Differential equations, Matrices
