Calculates the square root of a 2x2 square matrix.
Author: shiroeExecutions: 336
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Enter the elements of the 2x2 square matrix M for which you want to find the square root. The program outputs the 2x2 square matrix X, which is the square root of M. a, b, c, and d are the elements of X.a = X(1,1), b = X(1,2), c = X(2,1), and d = X(2,2). The numbers 1, 2, 3, and 4 to the right of a, b, c, and d are indices, indicating that they form a single set.Generally, since there are four square roots of X, four sets are output. If b and c are indeterminate (arbitrary), the values b=0 and c=0 are used for the output. In this case, “1” is output for the bottom-most condition, “Are b and c indeterminate?”
| a1 | |
| b1 | |
| c1 | |
| d1 | |
| a2 | |
| b2 | |
| c2 | |
| d2 | |
| a3 | |
| b3 | |
| c3 | |
| d3 | |
| a4 | |
| b4 | |
| c4 | |
| d4 | |
| Are b and c undetermined? | (Non-indeterminate = 0, indeterminate = 1) |
R5 (2023). 08/13 (Sun)_002, Ver. fukusosu_mode, 50 digits, digit conversion enabled
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Given a 2x2 matrix M, this finds the 2x2 matrix X such that M = X². Here, we will refer to X as the square root of M. This involves considering an operation analogous to the square root of a regular number (represented by the radical symbol √).