EV HSC H.Math MCQ Question With Answer Chapter 5

EV HSC H.Math MCQ Question With Answer Chapter 5. Permutations and Combinations. The subject of Higher Mathematics is applied worldwide in various researchers of scientific innovation. Especially, the application of Higher Mathematics in Physics, Astronomy and space research is essential. Besides, Higher Mathematics is contributing meaningfully to various researchers and experiments of everyday life.

The learning of Higher Mathematics is very important to face the challenges of the scientific world of 21st century, with all these things under consideration; the book titled higher mathematics has been introduced at the secondary level. In this case, sincere attempts have been taken to make the book easy and delightful, giving due emphasis to the understanding ability of the students.

EV HSC H.Math MCQ Question With Answer Chapter 5. Permutations and Combinations

This textbook has been written keeping in mind the promise and vision of the 21st century and in accordance with the new curriculum. So, any constructive and logical suggestions for its improvement will be paid mentionable attention. Very little time was available for writing the textbook. As a result, there could be some unintentional mistakes in it. In the next edition of the book, more care will be taken to make the book more elegant and error free.

In this lesson, we will learn the different types of matrices: row matrix, column matrix, zero matrices, square matrix, diagonal matrix, unit matrix, and equal matrices.

What is a matrix?

A matrix is a rectangular array of numbers. The size or dimension of a matrix is defined by the number of rows and columns it contains. Matrices are plural for the matrix.

The following diagrams give some of the examples of the types of matrices. Scroll down the page for more examples and explanations. You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Determinants occur throughout mathematics. For example, a matrix is often used to represent the coefficients in a system of linear equations, and the determinant can be used to solve those equations, although other methods of solution are much more computationally efficient. In linear algebra, a matrix (with entries in a field) is invertible if and only if its determinant is non-zero, and correspondingly the matrix is singular if and only if its determinant is zero.

This leads to the use of determinants in defining the characteristic polynomial of a matrix, whose roots are the eigenvalues. In analytic geometry, determinants express the signed n-dimensional volumes of n-dimensional parallelepipeds. This leads to the use of determinants in calculus, the Jacobian determinant in the change of variables rules for integrals of functions of several variables. Determinants appear frequently in algebraic identities such as the Vandermonde identity.

Thanks to those who have sincerely applied their talent and labor in writing, editing, translating, drawing, setting sample questions and publishing of the book. I hope the book will ensure happy reading and expected skill acquisition of the learners.

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EV HSC H.Math MCQ Question With Answer