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matrices chapter 3 class 12 maths

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 For ClasMatrices Definition Matrices for Class 12 Topics The topics covered in matrices for class 12 include the following topics: Matrix Introduction Types Operations Transpose of a Matrix Symmetric and Skew Symmetric Matrix Elementary Operations of a Matrix (Transformations) Invertible Matrices Matrix  introduction A matrix is a function which consists of an ordered rectangular array of numbers. The numbers in the array are called the entities or the elements of the matrix. The horizontal array of elements in the matrix is called rows, and the vertical array of elements are called the columns. If a matrix has m rows and n columns, then it is known as the matrix of order m x n. Types of Matrices Depending upon the order and elements, matrices are classified as, Column Matrix A column matrix is an m × 1 matrix, consisting of a single column of m elements. It is also called a column vector. Row Matrix A row matr...
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Compound Interest class 8 chapter6(notes) maths definition, formula

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Compound Interest Definition Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from the simple interest where interest is not added to the principal while calculating the interest during the next period. Compound interest finds its usage in most of the transactions in the banking and finance sectors and also in other areas as well. Some of its applications are: Increase or decrease in population. The growth of bacteria. Rise or depreciation in the value of an item. Compound Interest Formula The compound interest formula is given below: Compound Interest = Amount – Principal Where the  amount  is given by: Where, A= amount P= principal R= rate of interest n= number of times interest is compounded per year It is to be noted that the above formula is the general formula for the number of times the principal is compounded in an year. If the amount is compounded annually, the amount is given as- ...
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TRIGONOMETRIC FORMULAS APPLICABLE IN 9TH, 10TH STANDARD

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TRIGONOMETRIC FORMULAS APPLICABLE IN 9TH, 10TH STANDARD TRIGONOMETRY s i n θ = P e r p e n d i c u l a r H y p o t e n u s e C o s θ = B a s e H y p o t e n u s e T a n θ = P e r p e n d i c u l a r B a s e C o t θ = B a s e P e r p e n d i c u l a r S e c θ = H y p o t e n u s e B a s e C o s e c θ = H y p o t e n u s e P e r p e n d i c u l a r S i n θ = 1 C o s e c θ C o s θ = 1 S e c θ T a n θ = 1 C o t θ T a n θ = S i n θ C o s θ C o t θ = C o s θ S i n θ TRIGONOMETRY VALUE OF THE TRIGONOMETRIC FUNCTIONS WITH STANDARD ANGLE Table 1 0 o 30 o 45 o 60 o 90 o 180 o 270 o 360 o Sin 0 1/2 1 / √ 2 √ 3 / 2 1 0 -1 0 Cos 1 √ 3 / 2 1 / √ 2 1/2 0 -1 0 1 Tan 0 1 / √ 3 1 √ 3 ∞ 0 ∞ 0 Cot ∞ √ 3 1 1 / √ 3 0 ∞ 0 ∞ Sec 1 2 / √ 3 √ 2 2 ∞ -1 ∞ 1 cosec ∞ 2 √ 2 2 / √ 3 1 ∞ -1 ∞ TRIGONOMETRIC IDENTITIES S i n 2 θ + C o s 2 θ = 1 , S...
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