Qayem Ishrak Khan, BURP, Urban and Regional Planning, Chittagong University of Engineering and Technology, Bangladesh, has been working with the ExcelDemy project for 1 year. He wrote over 40+ articles for ExcelDemy. He is an Excel and VBA Content Developer providing authentic solutions to different Excel-related problems and writing amazing content articles regularly. Data Visualization, DBMS, and Data Analysis are his main areas of interest. Besides, He has passions about learning and working with different features of Microsoft Office Suite.
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Dear MATHMAN,
We are glad that you have already got your answer related to the ROUND function.
Now let’s jump to the problem related to finding other EigenValue and EigenVector using the power method.
In the power method, it is a must to choose an initial vector V0. So, the tips for what to keep in mind while randomly choosing an initial vector V0:
If initial vector V0 =[0,1,1] and W is the given dominant Eigenvector, then V0 X W =0Â
The dominant Eigenvalue for the 3×3 matrix [5,4,-1; 4,5,1; -1,1,2] is approximately λ ≈ 9.
If you are getting Eignevalue λ≈0 for the initial EigenVector V0 = [0,0,1] most probably because the vector has no magnitude along the x and y axes and a magnitude of 1 along the z-axis. Therefore, the initial vector V0 does not converge to the dominant Eigenvalue for the given matrix. It is expected that different EigenVectors can lead to different EigenValues.
The dominant eigenvalue is typically the one with the largest magnitude. It is recommended to use multiple initial vectors in the power method so that you know which eigenvalue converges to the dominant eigenvalue.
I hope this solution resolves your issue. Feel free to email us at [email protected]Â if you have any further problems or inquiries.
Regards,
Qayem Ishrak Khan
Team ExcelDemy.
Dear ALEX,
Thank you for this interesting question. If you want to find the total sales value for each brand within a quarter or QTD, you can use a formula that combines the SUMIFS, INDEX, and MATCH functions.
Formula:
=SUMIFS(INDEX(D5:I14,0,MATCH(D16,D4:I4,0)),B5:B14,D17,C5:C14,D18)+SUMIFS(INDEX(D5:I14,0,MATCH(E16,D4:I4,0)),B5:B14,D17,C5:C14,D18)+SUMIFS(INDEX(D5:I14,0,MATCH(F16,D4:I4,0)),B5:B14,D17,C5:C14,D18)
The formula used here is the same as the one explained in the “Use of SUMIFS with INDEX & MATCH Functions in Excel” section. We repeat the formula two more times, adjusting the column reference for each specific month in the quarter.
I hope this solution resolves your issue. Feel free to email us at [email protected]Â if you have any further problems or inquiries.
Regards,
Qayem Ishrak Khan
Team ExcelDemy.