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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/Courses/Mt._San_Jacinto_College/Differential_Equations_(No_Linear_Algebra_Required)/08%3A_Appendices/8.03%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| \begin{array}{rrr} b_1 & a_{12} \\ b_2 & a_{22} \end{array} \right| }{\left| \begin{array}{rrr} a_{11} & a_{12} \\ a_{21} & a_...x_1= \frac{\det \left(A_{1}\right)}{\det \left(A\right)} = \frac{\left| \begin{array}{rrr} b_1 & a_{12} \\ b_2 & a_{22} \end{array} \right| }{\left| \begin{array}{rrr} a_{11} & a_{12} \\ a_{21} & a_{22} \end{array} \right| }\nonumber 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/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/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/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.
