Write an article based on this "Write your 3 x 3 matrix. Choose a single row or column. Cross out the row and column of your first element. Find the determinant of the 2 x 2 matrix. Multiply the answer by your chosen element. Determine the sign of your answer. Repeat this process for the second element in your reference row or column. Repeat with the third element. Add your three results together."
article: We'll start with a 3 x 3 matrix A, and try to find its determinant |A|. Here's the general matrix notation we'll be using, and our example matrix: M=(a11a12a13a21a22a23a31a32a33)=(153247462){\displaystyle M={\begin{pmatrix}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}\end{pmatrix}}={\begin{pmatrix}1&5&3\\2&4&7\\4&6&2\end{pmatrix}}} This will be your reference row or column. You'll get the same answer no matter which one you choose. For now, just pick the first row. Later, we'll give some advice on how to choose the easiest option to calculate. Let's choose the first row of our example matrix A. Circle the 1 5 3. In general terms, circle a11 a12 a13. Look at the row or column you circled and select the first element. Draw a line through its row and column. You should be left with four numbers. We'll treat these as a 2 x 2 matrix.  In our example, our reference row is 1 5 3. The first element is in row 1 and column 1. Cross out all of row 1 and column 1. Write the remaining elements as a 2 x 2 matrix:   1  5 3 2  4 1 4  6 2 Remember, the matrix (abcd){\displaystyle {\begin{pmatrix}a&b\\c&d\end{pmatrix}}} has a determinant of ad - bc. You may have learned this by drawing an X across the 2 x 2 matrix. Multiply the two numbers connected by the \ of the X. Then subtract the product of the two numbers connected by the /. Use this formula to calculate the determinate of the matrix you just found.  In our example, the determinant of the matrix (4762){\displaystyle {\begin{pmatrix}4&7\\6&2\end{pmatrix}}} = 4 * 2 - 7 * 6 = -34. This determinant is called the minor of the element we chose in our original matrix. In this case, we just found the minor of a11. Remember, you selected an element from your reference row (or column) when you decided which row and column to cross out. Multiply this element by the determinant you just calculated for the 2x2 matrix. In our example, we selected a11, which had a value of 1. Multiply this by -34 (the determinant of the 2x2) to get 1*-34 = -34. Next, you'll multiply your answer either by 1 or by -1 to get the cofactor of your chosen element. Which you use depends on where the element was placed in the 3x3 matrix. Memorize this simple sign chart to track which element causes which:   + - +- + -+ - + Since we chose a11, marked with a +, we multiply the number by +1. (In other words, leave it alone.) The answer is still -34. Alternatively, you can find the sign with the formula (-1)i+j, where i and j are the element's row and column. Return to the original 3x3 matrix, with the row or column you circled earlier. Repeat the same process with this element:   Cross out the row and column of that element. In our case, select element a12 (with a value of 5). Cross out row one (1 5 3) and column two (546){\displaystyle {\begin{pmatrix}5\\4\\6\end{pmatrix}}}.  Treat the remaining elements as a 2x2 matrix. In our example, the matrix is (2742){\displaystyle {\begin{pmatrix}2&7\\4&2\end{pmatrix}}}   Find the determinant of this 2x2 matrix. Use the ad - bc formula. (2*2 - 7*4 = -24)  Multiply by the chosen element of the 3x3 matrix. -24 * 5 = -120  Determine whether to multiply by -1. Use the sign chart or the (-1)ij formula. We chose element a12, which is - on the sign chart. We must change the sign of our answer: (-1)*(-120) = 120. You have one more cofactor to find. Calculate i for the third term in your reference row or column. Here's a quick rundown of how you'd calculate the cofactor of a13 in our example:  Cross out row 1 and column 3 to get  (2446){\displaystyle {\begin{pmatrix}2&4\\4&6\end{pmatrix}}}  Its determinant is 2*6 - 4*4 = -4. Multiply by element a13: -4 * 3 = -12. Element a13 is + on the sign chart, so the answer is -12. This is the final step. You've calculated three cofactors, one for each element in a single row or column. Add these together and you've found the determinant of the 3x3 matrix. In our example the determinant is -34 + 120 + -12 = 74.

Write an article based on this "Remove any optical media from your computer. Power off your computer. Power on your computer. Press and hold F8 while the computer starts. Select a boot option using the arrow keys. Hit ↵ Enter."
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This includes floppy discs, CDs, DVDs. This may also include external hard drives or thumb drives if your computer is set to boot from them. You can also Restart the computer This step can be skipped if you are rebooting. This will take you to the “Advanced Boot Options” screen. You may see some combination of the following options:   Safe Mode with Networking. Safe mode is a diagnostic mode that disallows all software except necessary drivers and core software (including basic network software in this case) to run the operating system.  Safe Mode with Command Prompt. This gives you a command prompt window in safe mode instead of a graphical user interface. This mode is typically for advanced users.  Enable Boot Logging. This option creates a file, ntbtlog.txt, that can be used to help troubleshoot issues while booting the computer. This is also designed for advanced users.  Enable low-resolution video (640×480). This starts Windows using your video driver and with low resolution and refresh rate settings. This can help you troubleshoot issues with your display settings or graphics hardware.  Last Known Good Configuration (advanced). If you are having trouble booting into your OS or keeping the environment stable, this will start Windows with the last registry and driver configuration that booted successfully.  Debugging Mode. This starts Windows in a troubleshooting mode with advanced diagnostics and logging intended for IT professionals.  Disable automatic restart on system failure. This prevents Windows from automatically restarting if an error causes Windows to fail (for example, a Blue Screen error). You can use this if Windows is stuck in a loop where the OS fails, restarts, then fails again repeatedly.  Disable Driver Signature Enforcement. This will Allow drivers containing improper signatures to be installed when using Windows. Only use this if you trust the source of the third party drivers you are using.  Start Windows Normally. This will start Windows without any special modifications. The computer will boot into Windows 7 with the selected modifications.