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  • 4: Unary Matrix Operations
    https://math.libretexts.org/Bookshelves/Linear_Algebra/Introduction_to_Matrix_Algebra_(Kaw)/01%3A_Chapters/1.04%3A_Unary_Matrix_Operations
    \[\begin{split} \left\lbrack A \right\rbrack &= \left\lbrack 25562010163157\begin{m...\[\begin{split} \left\lbrack A \right\rbrack &= \left\lbrack 2556201016315722527 \right\rbrack\\ &= \left\lbrack 33.2540.1925.0330.0138.0222.0235.0241.0327.0330.0538.2322.95 \right\rbrack…
  • 5: System of Equations
    https://math.libretexts.org/Bookshelves/Linear_Algebra/Introduction_to_Matrix_Algebra_(Kaw)/01%3A_Chapters/1.05%3A_System_of_Equations
    \[\begin{bmatrix} a_{11} & a_{12} & \cdot & \cdot & a_{1n} \\ a_{21} & a_{22} & \cdot & \cdot & a_{2n} \\ \cdot & \cdot & \cdot & \cdot & \cdot \\ \cdot & \cdot & \cdot & \cdot & \cdot \\ a_{n1} & a_{...[a11a12⋅⋅a1na21a22⋅⋅a2n⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅an1an2⋅⋅ann][a′11a′21⋅⋅a′n1]=[10⋅⋅0]
  • 2: Vectors
    https://math.libretexts.org/Bookshelves/Linear_Algebra/Introduction_to_Matrix_Algebra_(Kaw)/01%3A_Chapters/1.02%3A_Vectors
    If we were given another vector →A4, the rank of the set of the vectors \({\overrightarrow{A}}_{1},\ {\overrightarrow{A}}_{2},\ {\overrightarrow{A}}_{3},{\overrightarrow{A}}_{...If we were given another vector →A4, the rank of the set of the vectors →A1, →A2, →A3,→A4 would still be 3 as the rank of a set of vectors is always less than or equal to the dimension of the vectors and that at least →A1, →A2, →A3 are linearly independent.
  • 8.03: Runge-Kutta 2nd-Order Method for Solving Ordinary Differential Equations
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/8%3A_Ordinary_Differential_Equations/8.03%3A_Runge-Kutta_2nd-Order_Method_for_Solving_Ordinary_Differential_Equations
    Theory, application, and derivation of the Runge-Kutta second-order method for solving ordinary differential equations
  • 1.03: Sources of Error
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/1%3A_Introduction/1.03%3A_Sources_of_Error
    Discussion of round-off and truncation errors, how they arise, and examples of the problems they can create.
  • 7.00: Physical Problems for Integration
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/7%3A_Integration/7.00%3A_Physical_Problems_for_Integration
    Examples of engineering problems whose solutions require integration.
  • Back Matter
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/zz%3A_Back_Matter
  • 7.01: Prerequisites to Numerical Integration
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/7%3A_Integration/7.01%3A_Prerequisites_to_Numerical_Integration
    Definition of integrals. Using Riemann sums to approximate the value of integrals, and finding the exact value for some basic integrals.
  • 5: Interpolation
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/5%3A_Interpolation
    Examples of problems that can be solved by interpolation. Prerequisites for interpolation. Direct and spline methods of interpolation.
  • 3.01: Prerequisites to Numerical Methods for Solving Nonlinear Equations
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/3%3A_Nonlinear_Equations/3.01%3A_Prerequisites_to_Numerical_Methods_for_Solving_Nonlinear_Equations
    Review of how to solve quadratic equations.
  • 3.00: Physical Problems for Nonlinear Equations
    https://math.libretexts.org/Workbench/Numerical_Methods_with_Applications_(Kaw)/3%3A_Nonlinear_Equations/3.00%3A_Physical_Problems_for_Nonlinear_Equations
    Examples of engineering problems that require the solution of nonlinear equations.

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