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- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_420%3A_Differential_Equations_(Breitenbach)/11%3A_Appendices/03%3A_Determinants_and_Cramer's_Rule_for_2_X_2_Matrices\[x_1= \frac{\det \left(A_{1}\right)}{\det \left(A\right)} = \frac{\left| b1a12b2a22 \right| }{\left| \begin{array}{rrr} a_{11} & a_{12} \\ a_{21} & a_...x1=det and x_2= \frac{\det \left(A_{2}\right)}{\det \left(A\right)} = \frac{\left| \begin{array}{rrr} a_{11} & b_1 \\ a_{21} & b_2 \end{array} \right| }{\left| \begin{array}{rrr} a_{11} & a_{12} \\ a_{21} & a_{22} \end{array} \right| }\nonumber
- https://math.libretexts.org/Bookshelves/Linear_Algebra/A_First_Course_in_Linear_Algebra_(Kuttler)/03%3A_Determinants/3.01%3A_Basic_TechniquesLet A be an n×n matrix. That is, let A be a square matrix. The determinant of A, denoted by det(A) is a very important number which we will explore throughout this section.
- https://math.libretexts.org/Courses/De_Anza_College/Linear_Algebra%3A_A_First_Course/03%3A_Determinants/3.01%3A_Basic_TechniquesLet A be a square matrix. The determinant of A, denoted by \det (A) , is an important number that gives us some very useful information about the matrix. We will explore the determinant t...Let A be a square matrix. The determinant of A, denoted by \det (A) , is an important number that gives us some very useful information about the matrix. We will explore the determinant throughout this section and chapter.
- https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/A_First_Journey_Through_Linear_Algebra/03%3A_Determinants/3.01%3A_Basic_TechniquesLet A be an n×n matrix. That is, let A be a square matrix. The determinant of A, denoted by det(A) is a very important number which we will explore throughout this section.
- https://math.libretexts.org/Courses/Reedley_College/Differential_Equations_and_Linear_Algebra_(Zook)/03%3A_Determinants/3.01%3A_Basic_TechniquesLet A be an n×n matrix. That is, let A be a square matrix. The determinant of A, denoted by det(A) is a very important number which we will explore throughout this section.
- https://math.libretexts.org/Courses/Coastline_College/Math_C285%3A_Linear_Algebra_and_Diffrential_Equations_(Tran)/03%3A_Determinants/3.01%3A_Basic_TechniquesLet A be an n×n matrix. That is, let A be a square matrix. The determinant of A, denoted by det(A) is a very important number which we will explore throughout this section.
- https://math.libretexts.org/Bookshelves/Linear_Algebra/Fundamentals_of_Matrix_Algebra_(Hartman)/03%3A_Operations_on_Matrices/3.01%3A_The_Matrix_TransposeThe transpose of a matrix is an operator that flips a matrix over its diagonal. Transposing a matrix essentially switches the row and column indices of the matrix.
- https://math.libretexts.org/Courses/Community_College_of_Denver/MAT_2562_Differential_Equations_with_Linear_Algebra/12%3A_Matrices_and_Determinants/12.08%3A_Basic_Techniques_of_DeterminantsLet A be an n×n matrix. That is, let A be a square matrix. The determinant of A, denoted by det(A) is a very important number which we will explore throughout this section.
- https://math.libretexts.org/Courses/Mission_College/MAT_04C_Linear_Algebra_(Kravets)/03%3A_Determinants/3.01%3A_Basic_TechniquesLet A be an n×n matrix. That is, let A be a square matrix. The determinant of A, denoted by det(A) is a very important number which we will explore throughout this section.
- https://math.libretexts.org/Courses/Lake_Tahoe_Community_College/A_First_Course_in_Linear_Algebra_(Kuttler)/03%3A_Determinants/3.01%3A_Basic_TechniquesLet A be an n×n matrix. That is, let A be a square matrix. The determinant of A, denoted by det(A) is a very important number which we will explore throughout this section.
- https://math.libretexts.org/Courses/De_Anza_College/Linear_Algebra%3A_A_First_Course/06%3A_Spectral_Theory/6.02%3A_Eigenvalues_and_Eigenvectors_for_Special_Matrices/6.2E%3A_Exercises_for_Section_6.2This page contains exercises on computing eigenvalues and eigenvectors for various matrices, demonstrating similarities between matrices, and implications on their eigenvalues and eigenvectors. It inc...This page contains exercises on computing eigenvalues and eigenvectors for various matrices, demonstrating similarities between matrices, and implications on their eigenvalues and eigenvectors. It includes tasks involving elementary matrices for simplifying matrices and emphasizes properties of similar matrices concerning eigenvalues and eigenvectors.