Q: You need to calculate the determinant of the matrix as an initial step. If the determinant is 0, then your work is finished, because the matrix has no inverse. The determinant of matrix M can be represented symbolically as det(M).  For a 3x3 matrix, find the determinant by first To review finding the determinant of a matrix, see Find the Determinant of a 3X3 Matrix. Transposing means reflecting the matrix about the main diagonal, or equivalently, swapping the (i,j)th element and the (j,i)th. When you transpose the terms of the matrix, you should see that the main diagonal (from upper left to lower right) is unchanged. Another way to think of transposing is that you rewrite the first row as the first column, the middle row becomes the middle column, and the third row becomes the third column. Notice the colored elements in the diagram above and see where the numbers have changed position. Every item of the newly transposed 3x3 matrix is associated with a corresponding 2x2 “minor” matrix. To find the right minor matrix for each term, first highlight the row and column of the term you begin with. This should include five terms of the matrix. The remaining four terms make up the minor matrix.  In the example shown above, if you want the minor matrix of the term in the second row, first column, you highlight the five terms that are in the second row and the first column. The remaining four terms are the corresponding minor matrix. Find the determinant of each minor matrix by cross-multiplying the diagonals and subtracting, as shown. For more on minor matrices and their uses, see Understand the Basics of Matrices. Place the results of the previous step into a new matrix of cofactors by aligning each minor matrix determinant with the corresponding position in the original matrix. Thus, the determinant that you calculated from item (1,1) of the original matrix goes in position (1,1). You must then reverse the sign of alternating terms of this new matrix, following the “checkerboard” pattern shown.  When assigning signs, the first element of the first row keeps its original sign. The second element is reversed. The third element keeps its original sign. Continue on with the rest of the matrix in this fashion. Note that the (+) or (-) signs in the checkerboard diagram do not suggest that the final term should be positive or negative. They are indicators of keeping (+) or reversing (-) whatever sign the number originally had. For a review of cofactors, see Understand the Basics of Matrices. The final result of this step is called the adjugate matrix of the original. This is sometimes referred to as the adjoint matrix. The adjugate matrix is noted as Adj(M). Recall the determinant of M that you calculated in the first step (to check that the inverse was possible). You now divide every term of the matrix by that value. Place the result of each calculation into the spot of the original term. The result is the inverse of the original matrix.  For the sample matrix shown in the diagram, the determinant is 1. Therefore, dividing every term of the adjugate matrix results in the adjugate matrix itself. (You won’t always be so lucky.) Instead of dividing, some sources represent this step as multiplying each term of M by 1/det(M). Mathematically, these are equivalent.
A: Check the determinant of the matrix. Transpose the original matrix. Find the determinant of each of the 2x2 minor matrices. Create the matrix of cofactors. Divide each term of the adjugate matrix by the determinant.

Article: Create a center or side part, then using hair from each side of the part, create 2 rope braids. Pull the rope braids into a half-up ponytail at about ear level. Gather all of your hair into a low ponytail, and use it to make a fishtail braid.  Make the rope braids sit low on the back of your head, right where it starts to curve into your nape. Tuck a fancy comb or tiny flowers into the joint just above the gathered rope braids. Use a clear hair elastic for securing the rope braids; you don’t want that to be visible. Create a deep side part first. The, starting on the thicker side of the part, begin to French braid down the side of your head, across the back, and toward the other side of your nape. Finish with a regular braid, then secure it with a hair elastic.  Keep the sections large and loose for a gentler look. For more volume, gently pull on the outer loops of the regular braid. Add a hair accessory that matches your jewelry into the end of the braid to make it look more fancy. Create a deep side part. Then, starting from the thicker side of the part, begin a French braid. Continue French braiding down the side of your head, then pull everything into a low ponytail and finish off with a fishtail braid. Keep the sections on the French braid large and loose. You want them to gently sweep across your hairline. Part your hair into 5 sections. Take the first section on the left, and weave it over and under the next 2 sections. Next, take the last section on the right, and weave it over and under the previous sections. Keep going until you reach the end of your hair, then secure it with a hair elastic.  For a more elegant touch, part your hair off to the side. Drape the braid over your shoulder. Secure the middle of each section with a clear elastic, then move the elastics down as you braid. At the end, pull those elastics off. This will help you keep track. Hold strands 1 and 2 in your left hand, and strands 4 and 5 in your right. Leave strand 3 hanging in the middle. Create a deep side part, then do a simple braid or French braid at the base of your nape. Drape the braid over your shoulder, then pin a large hair accessory or birdcage veil to the side of your head.
Question: What is a summary of what this article is about?
Merge a pair of rope braids into a fishtail braid for an intricate look. Do a side part, then create a French braid for something more elegant. Start a French braid, then finish off with a fishtail braid. Try a fancy 5-strand braid if you want lots of volume. Dress up a simple side braid.

Q: ) house of representatives district by sending out communications, texts, emails. ..   Your work makes it happen.Be amazed as you speak with friends and family about the concern and love of your ("our") system of government, and as you create -- or forward the "block party invitations" sent to you -- (out to your e-mail friends)... All of this shows the respect you hold within your cause and your community and for each other.
A:
Do your own literature about the basics for public relations and build friendships for your, PAC, TEA Party group or formal political party, if you can   Raise funds if you need to pay for printing and mailing and such and still do it. Be proactive by volunteering to canvass (take a survey for a campaign) in your, precinct, for state (or U.S. Make a webpage, blog and write articles. Expect that it take several thousand (possibly 3,000 or so pieces of literature for one state district to likely voter for your party, or several hundred for just one precinct). Consider using cards because people look at both sides to see what it is all about. Praise your friends, who are volunteering too, they (and you) are so amazing!