Linear Algebra
Types of linear systems Gauss-Jordan elimination, Gauss-Jordan method Vectors and vector addition Geometrical solution sets of systems of equations Rectangular matrices to row echelon form Matrix multiplication Inverse to a square matrix Determinants..
Matrix
Matrix of blood is known as plasma. Nearly 90% of the plasma is represented by water. The organic substances account for about 9% and the remaining 1% is represented by inorganic substances. The organic substances in the plasma occur in a wide variety of forms. There are carbohydrates mos..
Algebra/Linear Algebra
Different forms of numbers Scientific notation, square roots, exponents, radicals, absolute value, factorial, logarithms Properties of numbers Estimation of solutions Sequences and series Proportionality/direct variation, exponential/fractional expressions Patterns, relations and functions ..
Null Matrix or Zero Matrix
A matrix of order m x n whose elements are all 0 is called a null matrix (or zero matrix) of order m x n. It is usually denoted by O or more clearly [O] m , n..
Row Matrix
A matrix having only one row is called a row-matrix. For example: A[1 3 2 -2] is a row matrix of order 1 x..
Scalar Matrix
A scalar matrix is a diagonal matrix in which all the diagonal elements are equa..
Singular Matrix
A square matrix A is said to be singular if |A| = ..
Definition of a Matrix
A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracket. Matrices are denoted by capital..
Column Matrix
A matrix having only one column is called a column matrix. 3 x 1 and 4 x 1 respectivel..
A matrix having only one column is called a column matrix. 3 x 1 and 4 x 1 respectivel..Definition of a Matrix
Matrices - Consider the arrangement In this arrangement, there are two rows and four columns. The number 3 lies in the 2 n d row and 4 t h column. Each number has a fixed position. Matrix A has 2 rows and 3 columns and is thus of order 2 x 3. Matrix B has 3 rows and 2 columns an..
Matrices - Consider the arrangement In this arrangement, there are two rows and four columns. The number 3 lies in the 2 n d row and 4 t h column. Each number has a fixed position. Matrix A has 2 rows and 3 columns and is thus of order 2 x 3. Matrix B has 3 rows and 2 columns an.. Result
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