Example 2:
Using matrix method, solve the following system of linear equations x + y + z = 6 (1) x + 2y + 3z = 14 (2) x + 4y + 7z = 30 ..
Fig (c)
Figures (a) and (b) show its two triangles. Figure (c) shows two triangles superimposed and suggests a geometric method of drawing the two triangles. From figure (c), it is evident that if b < c sinB, there is no triangle. The following rules may be used to solve a triangle ..
Summary of Simultaneous Equations
Summary Simultaneous Equations - Finding the solution by the method of substitution. Finding the solution by the method of substitution. (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factors. (ii) By addit..
Molecular Orbital Theory
Molecular Orbital Theory - Molecular orbital theory was proposed by F. Hund and R.S. Mulliken in 1932. The basic idea of molecular orbital theory is that atomic orbitals of individual atoms combine to form molecular orbitals. The electrons in molecules are present in the molecular orbitals, which a..
CALCULUS
Limits- operations on functions Continuity of a function Intermediate value, extreme value theorem Derivatives, differentiability Derivatives of functions Chain rule Rolle's theorem, mean value theorem, and L'Hopital's rule Maxima, minima, inflection points, intervals Newton's method..
Judicious use of Energy
. Modern homes are built to conserve fuel by using building materials and methods that insulate the house. In the colder parts of the world insulation helps to keep heat in and save fuel. Relying more heavily on renewable resources and recycling of wastes into energy can help to conserve ..
Point of intersection of two lines
Point of intersection of two lines - Then (x 1 , y 1 ) lies on both (i) and (ii). Solving for x 1 and y 1 by the method of cross multiplication, we obta..
Point of intersection of two lines - Then (x 1 , y 1 ) lies on both (i) and (ii). Solving for x 1 and y 1 by the method of cross multiplication, we obta..Case I:
Pre-multiply by A - 1 , \ A - 1 (AX) = A - 1 B \ (A - 1 A) X = A - 1 B \ I X = A - 1 B or X = A - 1 B This is the matrix method to solve the equations. However, ..
Pre-multiply by A - 1 , \ A - 1 (AX) = A - 1 B \ (A - 1 A) X = A - 1 B \ I X = A - 1 B or X = A - 1 B This is the matrix method to solve the equations. However, ..Plant Tissue Culture
Plant Tissue Culture - It refers to culture or growing the plant tissues. Plant tissue culture is developed as a separate branch of science - ever since the potentiality of each cell or tissue of plant to grow into a separate organism has been recognised. Tissue culture technique has opened up new ..
Consistency of a system of linear equation
If a system of linear equations has at least one solution, then the system is called consistent, otherwise it is called inconsistent. Solve the system of linear equations (1) by using method of elimination as studied earlier Multiplying the first equation by a 2 and the second..
If a system of linear equations has at least one solution, then the system is called consistent, otherwise it is called inconsistent. Solve the system of linear equations (1) by using method of elimination as studied earlier Multiplying the first equation by a 2 and the second.. Result
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