Category: Class 10 Mathematics
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Cramer’s Rule: Solution of a System of Linear Equations
Cramer’s Rule is used to solve the system of linear equations in two variables using determinants. Analytical Geometry and Cramer’s Rule Let us consider the following two linear equations: i) $a_1x + b_1y + c_1 = 0$ ii) $a_2x + b_2y + c_2 = 0$ The values of x and y which satisfy both the…
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Determinant of 2×2 Matrix
Introduction In a 2×2 square matrix, the determinant is obtained by subtracting the product of the elements of the secondary diagonal by the product of the elements of the leading diagonal. Determinant of a matrix is written as |A| or |A+B| or |B|. The name of the the matrix should be written inside ‘||’. In…
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Types of Matrix
In the previous chapter, we discussed Introduction of Matrix. Here, we shall discuss Types of Matrix. Row Matrix Row Matrix is that type of matrix in which the entries are arranged in only one row and more than one columns. The general order of a row matrix is 1xn where n = 1,2,3,4,… . Examples…