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Consider the following system of linear equations.
X1+x3+x4 = 2
X1+x2+x3 = 6
X2+x3+x4 = 3
X1+x2+x4 = 0
(a) Write out the augmented matrix for this system of linear equations.
(b) Use elementary row operations to reduce the augmented matrix to reduced row- echelon form.
(c) Write out the solution to the system of linear equations.
Standard form of the line Let's begin this section off along a quick mathematical definition of a line. Any equation that can be written in the following form,
a person having rs.10 shares of value rs.6000 in a company which pays a 7% dividend invested the money gained by selling those shares and bought rs.25 shares at rs.24 per share in
The Distributive Law : If you were asked to mentally multiply 37 with 9, how would you proceed? 1 would do it as follows - 37 is 30 + 7, 30 x 9 = 270, 7 x 9 = 63, so 270 + 63, th
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Differentiate the following functions. (a) f (t ) = 4 cos -1 (t ) -10 tan -1 (t ) (b) y = √z sin -1 ( z ) Solution (a) Not much to carry out with this one other
what is 9/8
Recall also which value of the derivative at a specific value of t provides the slope of the tangent line to the graph of the function at that time, t. Thus, if for some time t the
Newton's Method : If x n is an approximation a solution of f ( x ) = 0 and if given by, f ′ ( x n ) ≠ 0 the next approximation is given by
Another aid that can help children practise subtraction is the number strip. TGS can be used to improve their ability to count backwards. For example, subtracting 4 from 9 means
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