Determine the determinant of matrix, Mathematics

Assignment Help:

Example Determinant:  Determine the determinant of each of the following matrices.

1114_Determine the determinant of matrix.png

Solution:

For the 2 x 2 there isn't much to perform other than to plug this in the formula.

870_Determine the determinant of matrix1.png

= ( -9) + 4 - (18) (2) = 0

For the 3 x 3 we could plug this in the formula, though not like the 2 x 2 case it is difficult formula to remember. There is an easier manner to get similar result. An earlier way of finding the same result is to perform the following. Firstly write down the matrix and then tack a copy of the first two columns on the end as given below.

144_Determine the determinant of matrix2.png

Here, notice that there are three diagonals which run from left to right and three diagonals which run from right to left.  What we perform is multiply the entries on all diagonal up and whether the diagonal runs from left to right we add them up and whether the diagonal runs from right to left we subtract them.

Now there is the work for this matrix.

2359_Determine the determinant of matrix3.png

= (2)(-6)(-1) + (3) (7)(4) + (1)(-1)(5)-(3)(-1)(-1) - (2)(7) (5)- (1)(-6)(4)

= 42

You can either utilize the formula or the shortcut to find the determinant of a 3 x 3.

If the determinant of a matrix is zero then we call which matrix singular and if the determinant of a matrix isn't zero so we call the matrix nonsingular. The 2 x 2 matrix into the above illustration was singular whereas the 3 x 3 matrix is nonsingular.


Related Discussions:- Determine the determinant of matrix

Determine if the following sequences converge or diverge, Determine if the ...

Determine if the following sequences converge or diverge.  If the sequence converges find out its limit. a. {3n 2 - 1 / 10n + 5n 2 } ∞ n =2 b. {e 2n / n} ∞ n =1 c

Example of substitution method of linear equations, Describe some Example o...

Describe some Example of substitution method of Linear Equations with solution.

Capture a curvature in the relationship - quadratic model, 1. Consider the ...

1. Consider the model Y t = β 0 + β 1 X t + ε t , where t = 1,..., n.  If the errors ε t are not correlated, then the OLS estimates of  β 0   and β

Circles, Two tangents TP and TQ are drawn to a circle with center O from an...

Two tangents TP and TQ are drawn to a circle with center O from an external point T.prove that angle PTQ=angle 2 OPQ

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Write first-order formulas over the relational symbols, Consider the unary ...

Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is a point and a (straight) line in the 2-dimensional space, r

Write prim's algorithm, Write Prim's Algorithm.   Ans: Prim's algorithm...

Write Prim's Algorithm.   Ans: Prim's algorithm to find out a minimum spanning tree from a weighted graph in step by step form is given below.  Let G = (V, E) be graph and S

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd