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The subsequent topic that we require to take a look at is the determinant of a matrix. The determinant is in fact a function that gets a square matrix and converts this in a number. The real formula for the function is somewhat complicated and definitely beyond the scope of this review.
The particular method for computing determinants of any square matrix is termed as the method of cofactors. Because we are going to be dealing almost exclusively along with 2 x 2 matrices and the occasional 3 x 3 matrix we won't get in the method now. We can provide simple formulas for all of these cases. The ordinary notation for the determinant of the matrix A is,
det(A) = |A|
Now there are the formulas for the determinant of 2 x 2 and 3 x 3 matrices is,
Proof of Alternating Series Test With no loss of generality we can assume that the series begins at n =1. If not we could change the proof below to meet the new starting place
A 65 ohm resistor is connected to a power supply , a current of 2.4 amperes is drawn. what is the output voltage?
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Find out the surface area of the solid acquired by rotating the following parametric curve about the x-axis. x = cos 3 θ y = sin 3 θ 0 ≤ θ ≤ ?/2 Solution We wil
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If tanx+secx=sqr rt 3, 0 Ans) sec 2 x=(√3-tanx) 2 1+tan 2 x=3+tan 2 x-2√3tanx 2√3tanx=2 tanx=1/√3 x=30degree
A radiograph is made of an object with a width of 3 mm using an x-ray tube with a 2 mm focal spot at a source-to-film distance of 100 cm. The object being imaged is 15 cm from the
i have a question about discret math
Product and Quotient Rule : Firstly let's see why we have to be careful with products & quotients. Assume that we have the two functions f ( x ) = x 3 and g ( x ) = x 6 .
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