Algebra Key Terms Crossword Puzzle

QUESTIONS LIST:

• invertible: a matrix is called _ if there exists matrices such that ab = i and ca = i
• ring: this contains an abelian group and a monoid of a group where all elements within this are distributative
• trace: the sum of all the diagonal elements of the matrix
• injective: every _ linear mapping has a left inverse
• determinant: the formula for this is called the leibniz formula
• complementary: two vector subspaces are called this if addition defines a bijection
• field: every finite integral domain is this
• automorphism: an isomorphism of a vector space to itself
• elementary: this type of matrix differs from the identity matrix by only one element
• kernel: the preimage of the zero vector of a linear mapping
• endomorphism: a homomorphism from a vector space to itself
• commutative: a ring in which ab = ba for all a,b in the ring
• monic: when the leading coefficient of this polynomial is 1
• closed: the field of complex numbers is algebraically _