added eigcheck feature

linalg-practice.py

@@ -36,6 +36,16 @@ def invcheck(a, b, rowcol, intmax):
         print("What is the inverse of this matrix?")
         return (sp.Matrix(inmat(rowcol)) == a.inv())
 
+# eigcheck function to check if the eigenvalues are correct
+def eigcheck(a, b, rowcol, intmax):
+    eigs = a.eigenvals()
+    for i in range(len(eigs)) :
+        val = sp.nsimplify(input("Input eigenvalue: "))
+        if not (val in eigs and eigs[val] == sp.nsimplify(input("Input its algebraic multiplicity: "))) :
+            # return false if the eigenvalue not in dictionary and wrong alg multiplicity
+            return False
+    return True
+
 # practice function
 def practice(t) :
     count = 0
@@ -50,6 +60,8 @@ def practice(t) :
         f = detcheck
     elif t == "inv" :
         f = invcheck
+    elif t == "eig" :
+        f = eigcheck
     else :
         exit()