3D Determinant & Inverse Matrix Practice

3D Determinant & Inverse Matrix Practice

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Determinant and Inverse 3D Matrix

Find the determinant and Inverse matrix for

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B1 = Random(-9, 9)
C1 = Random(-9, 9)
A1 = Random(-5, 5)
A2 = Random(-9, 9)
C2 = Random(-5, 5)
B2 = Random(-5, 5)
C3 = Random(-5, 5)
B3 = Random(-5, 5)
A3 = Random(-5, 5)
M_1: {{A1, B1, C1}, {A2, B2, C2}, {A3, B3, C3}}
L_1 = Invert(M_1)
a = Element(L_1, 1, 1)
text1 = FractionText(a)
b = Element(L_1, 1, 2)
c = Element(L_1, 1, 3)
d = Element(L_1, 2, 1)
e = Element(L_1, 2, 2)
f = Element(L_1, 2, 3)
g = Element(L_1, 1, 3)
h = Element(L_1, 3, 2)
i = Element(L_1, 3, 3)
text2 = FractionText(b)
text3 = FractionText(c)
text4 = FractionText(d)
text5 = FractionText(e)
text6 = FractionText(f)
text7 = FractionText(g)
text8 = FractionText(h)
text9 = FractionText(i)
j = Determinant(M_1)
text13: "|det| = " + (LaTeX[j]) + ""
text14: "M^{-1}=\binom{" + (LaTeX[text1]) + " " + (LaTeX[text2]) + " " + (LaTeX[text3]) + "\\" + (LaTeX[text4]) + "" + (LaTeX[text5]) + "" + (LaTeX[text6]) + "}{" + (LaTeX[text7]) + " " + (LaTeX[text8]) + " " + (LaTeX[text9]) + "}"
k: B1 ≟ Random[-9, 9]
l: B3 ≟ Random[-9, 9]
text12: "M=" + (LaTeX[M_1]) + ""
n: false