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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,
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We now require addressing nonhomogeneous systems in brief. Both of the methods which we looked at back in the second order differential equations section can also be used now. Sin
suresh invested rs.1080 in shares of face value rs.50 at rs.54.After receiving dividend on them at 8% he sold them at 52.In each of the transaction he paid 2 % brokerage.Hpw much d
If the p th , q th & r th term of an AP is x, y and z respectively, show that x(q-r) + y(r-p) + z(p-q) = 0 Ans: p th term ⇒ x = A + (p-1) D q th term ⇒ y = A + (
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The actual solution is the specific solution to a differential equation which not only satisfies the differential equation, although also satisfies the specified initial conditions
G2=5.12 and G5=80 Find, r, G1, and S6
The students of a class are made to stand in complete rows. If one student is more in each row, there would be 2 rows less, and if one student is less in every row, there would be
Evaluate following. √16 and Solution To evaluate these first we will convert them to exponent form and then evaluate that since we already know how to
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