Shivan L
10 Oktober 2025 11:26
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Shivan L
10 Oktober 2025 11:26
Pertanyaan
Given matrices as following: P(2x2) [-88, -198] [x^3 - 3x^2 - 20, x^3 - 4x^2 - x] Q(3x3) [20, 1, 4x^3 - x] [x^2 + 3x + 2, x^2 + 4x + 3, 0] [x^2 -9x, x^2 - 10(x-1), 33] R(4x4) [√(x + 4 + 4√x), 2, 3, x^3 - 9x^2] [4, 6, 0, x^3 - 5x^2] [2, x^2 - 3(x+17), 7, x^3 - x^2 +4x] [x^2 - 8(x + 1), 4, 5, 5x^3 - x^2 - 77] With x is a quadratic number (like 1, 4, 9, 16, etc) and det(P), det(Q), det(R) will form a triple Phytagorean as following: {11(x^2)((x+1)^2), 44000x, 41x(121x+11)} If y = m - n with: m = x^3 - 4x^2 + 7x - 8, n = -7(x^3 - 500) + 5x^2 - x + 1, and x^2 * y = z Also given a fourth matrix as following: S(3x3) [12, 44, 7x-90] [343, y-1000, -2z/y] [z, y, -x] The sum of the determinant of (Q^T + S^-1), the determinant of (P^2), and the determinant of (R^-1 - R^T) is...
Given matrices as following:
P(2x2)
[-88, -198]
[x^3 - 3x^2 - 20, x^3 - 4x^2 - x]
Q(3x3)
[20, 1, 4x^3 - x]
[x^2 + 3x + 2, x^2 + 4x + 3, 0]
[x^2 -9x, x^2 - 10(x-1), 33]
R(4x4)
[√(x + 4 + 4√x), 2, 3, x^3 - 9x^2]
[4, 6, 0, x^3 - 5x^2]
[2, x^2 - 3(x+17), 7, x^3 - x^2 +4x]
[x^2 - 8(x + 1), 4, 5, 5x^3 - x^2 - 77]
With x is a quadratic number (like 1, 4, 9, 16, etc) and det(P), det(Q), det(R) will form a triple Phytagorean as following:
{11(x^2)((x+1)^2), 44000x, 41x(121x+11)}
If y = m - n with:
m = x^3 - 4x^2 + 7x - 8,
n = -7(x^3 - 500) + 5x^2 - x + 1,
and x^2 * y = z
Also given a fourth matrix as following:
S(3x3)
[12, 44, 7x-90]
[343, y-1000, -2z/y]
[z, y, -x]
The sum of the determinant of (Q^T + S^-1), the determinant of (P^2), and the determinant of (R^-1 - R^T) is...
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