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Symmetric, Skew-Symmetric And Orthogonal Matrices
Suppose I have a matrix . Then the matrix will be symmetric if the transpose of…
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Triangular Decomposition Method In 3 × 3 Matrices
There are several ways to solvrow transformation method, inverse matrix method and so on. The triangular decomposition…
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Partial Fractions Of Higher Degree Numerators With Examples
EXAMPLE 1 Write the following expression into the partial fraction form: . SOLUTION Here the…
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Laplace Transform Of A Unit Step Function
EXAMPLE 1 According to Stroud and Booth (2011)*, “A function is defined by ….determine its Laplace…
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Product Rule Of Differentiation
Suppose is a product of two functions and . This means Now my task is to differentiate , that…
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Homogeneous Difference Equations
Now the general form of any second-order difference equation is: Also, are constants. If , then the…
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First-Order Homogeneous Ode
WHAT IS A FIRST-ORDER HOMOGENEOUS ODE? Now any differential equation with is a first-order ODE. This type…
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Gauss-Jordan Method To Find Out The Inverse Of A Matrix
Let’s say I have a matrix And I want to find out the inverse of…
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First-Order Partial Derivative Of Functions With Three Variables
EXAMPLE 1 According to Stroud and Booth (2013)* “If express in its simplest form SOLUTION Here…
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The Area Under A Parametric Curve
Suppose and are the parametric equations of a curve. Then the area bounded by the curve,…