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Zero Matrix / Null Matrix A matrix with all its entries as zero is said to be a null matrix. Note that a null matrix can be of ...

Unit Matrix / Identity Matrix A diagonal matrix in which all the entries along the leading diagonal are equal to 1 is said to b ...

Then, A+B = ⎟⎟ ⎠ ⎞ ⎜⎜⎝ ⎛ + − + − + 3 5 4 6 1 3 2 4 = ⎟⎟ ⎠ ⎞ ⎜⎜⎝ ⎛− 8 2 2 6 Note that A + B = B + A. That is, matrix addition is ...

If the order of matrix A is 2×3 and order of matrix B is 3×4 then A and B are said to be compatible for multiplication and the o ...

Note that the product of the two given matrices AB is not equal to BA. That is matrix multiplication is not commutative. Matrix ...

Note that in the above example, the order of matrix A is 2×3 and the order of its transpose matrix AT is 3×2. The idea may be ta ...

RECTANGULAR COORDINATE SYSTEM Rectangular coordinate system The system of representation of points in the plane by ordered pair ...

A circular sheet of paper in which two straight lines cutting orthogonally at the centre enables the child to conceptualize that ...

Ordered pair An ordered pair is a set of two elements mentioned in that order, the elements being written within parentheses. I ...

TRIGONOMETRY Trigonometry Trigonometry is a branch of mathematics which deals with the relations between the measurements of sid ...

A cutout or an embossed diagram may be used to explain this concept. Provide squares with dotted lines on the opposite and adjac ...

Trigonometric ratios of angles 0o, 30o, 45o, 60o,90o 000 300 450 600 900 Sin (^0212) 1 2 (^31) Cos (^1232) 1 2 (^10) Tan (^03) ...

cosθ. secθ =1 tanθ. cotθ =1 tanθ = cossinθθ cotθ = cossinθθ sin^2 θ + cos^2 θ =1 1 + tan^2 θ = sec^2 θ 1 + cot^2 θ = cosec^2 θ ...

triangle AB θC ABC,^ ∠B = 90^0. Therefore^ ∠A +^ ∠C = 90^0. Let^ ∠A = 30^0 , therefore sin 30^0 = ⎜⎛⎝^12 ⎞⎠⎟. Since^ ∠A +^ ∠B = ...

ANALYTICAL GEOMETRY Analytical Geometry Analytical Geometry is a branch of mathematics in which the algebraic methods are used t ...

The concept of slope of a line may be taught with an embossed diagram. Condition for two lines to be parallel Let AB and CD be ...

As the child is already familiar with the idea of perpendicularity, its nature relating to slope of a line alone needs explanati ...

A B P Mm:n Eg. : Graph of 2x + 3y = 7 Distance formula In the rectangular coordinate system, the distance between any two point ...

Internal division: The coordinates of the point P is ⎜⎝⎛ + ⎟⎠⎞ ⎟ + ⎠ ⎜ ⎞ ⎝ ⎛ + + m n , my^ ny m n mx 2 nx 1 2 1 External divisio ...

Area of a quadrilateral Let A(x 1 ,y 1 ), B(x 2 ,y 2 ), C(x 3 ,y 3 ), D(x 4 ,y 4 ) be the vertices of the quadrilateral ABCD. T ...