Chapter 4 Quadratic Equations Exercise 4.1 Q1 Download this solution … [Continue reading]
Introduction to Quadratic Equations
Any equation of the form $$a{x^2} + bx + c = 0$$ or which can be converted into form $$a{x^2} + bx + c = 0$$ where a, b, c are real numbers and $$a \ne 0$$ is a Quadratic Equation. Such a form of quadratic equation is called standard form. For … [Continue reading]
Determinant of Matrix is equal to Determinant of its Transpose
Determinant of any square matrix is equal to determinant of its transpose. Lets take an example of any square matrix and find value of its determinant. Then transpose this matrix and again find value of determinant of transpose of matrix. We will … [Continue reading]
What is symmetric and skew-symmetric matrix?
What is a Symmetric Matrix? A square Matrix A is said to be symmetric if $${a_{ij}} = {a_{ji}}$$for all i and j, where $${a_{ij}}$$ is an element present at $${(i,j)^{th}}$$ position ($${i^{th}}$$ row and $${j^{th}}$$ column in matrix A) and … [Continue reading]
We have matrix A, how to prove that transpose of (A transpose) is equal to matrix A i.e {A^T)^T = A.
We are given matrix A then how can we prove that $${({A^T})^T} = A$$. where T represents transpose of Matrix. Two matrices are said to be equal if they have same order and their corresponding elements are equal. Similarly, to prove $${({A^T})^T} = … [Continue reading]
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