Calculating quadratic expressions using a 2x2 square matrix
Author: shiroeExecutions: 34
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Enter the elements of x, aL, aR, bL, bR, and c.
The numbers to the right of the letters in the input fields indicate the row and column numbers of the elements.
(Example: x21 represents the 2nd row, 1st column of matrix x.)
Please ensure that no input fields are left blank.
The output is y.
For reference, the determinant of y is also output.
The numbers to the right of the letters in the input fields indicate the row and column numbers of the elements.
(Example: x21 represents the 2nd row, 1st column of matrix x.)
Please ensure that no input fields are left blank.
The output is y.
For reference, the determinant of y is also output.
| y11 | y12 |
| y21 | y22 |
| Value of the determinant of y |
★★★ By default, aL, aR, bR, and bR are identity matrices. ★★★
R6 (2024). 11/04 (Mon)_Ver. 001
Digit display setting: 50 digits. Digit count can be changed. Complex number calculation mode.
R6 (2024). 11/04 (Mon)_Ver. 001
Digit display setting: 50 digits. Digit count can be changed. Complex number calculation mode.
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Consider a polynomial defined by a 2x2 square matrix.
This is a quadratic polynomial in the 2x2 square matrix x.
Let the form of the expression be y = aL*x*x*aR + bL*x*bR + c.
(* denotes the product of matrices; + denotes the sum of matrices.
To multiply matrices, multiply the left matrix by the right matrix in order.)
aL, aR, bL, bR, c, x, and y are all 2x2 square matrices.