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By Md. Bilal Solution:      Q.No(2)        2                  -         Not linear Q.No(3)       2                  -         Not linear Q .No(4)       2                  -         Not linear Let’s think! In the above table the equations are not linear. Can you convert the equations into linear equations? Let’s remember! We can create new variables making a proper change in the given variables.       Substituting the new variables in the given non-linear equations, we can convert them in linear equations.  Al...

By Md.Bilal Khan DETERMINANT: In linear algebra, the determinant is scalar value. Here we are just going to study what determinant Exactly is? How it is used to solve simultaneous equations. A determinant is a factor or cause that makes something to happen or leads directly to a decision. As a noun or adjective it refers to determining some vale or something for given input. Determinant is generally denoted by |A|, det(A) or det A. Determinant can be positive or a negative number. In our own words we can define determinant as within two vertical lines taking input as row or column and perform cross multiplication to get output for 2X2 determinant. see this: is a Determinant. (a, b),(c, d) are rows   and   are columns. Degree of this determinant is 2, because there are 2 elements in each column and 2 elements in each row. Solution of this determinant represents a number which is (ad-bc). Cross multiplication of elements. ∴ |A| = ad - ...