1 - For which determinant does the inverse of a matrix not exist?
A. -1
B. 0
C. 1
D. Undefined

Question

1 - For which determinant does the inverse of a matrix not exist?
A.	-1
B.	0
C.	1
D.	Undefined

amistre64 · Answer

since we have to divide by the determinant value to work out an inverse ... which value is a divide by no-no?

anonymous · Answer

i dont know what that means. would it be B then?

amistre64 · Answer

correct, since dividing by 0 is not allowed ... the determinant cant be 0

anonymous · Answer

okay, so can you help me answer this one then as well:


What is the product of a matrix and its inverse?
	A.	1
	B.	-1
	C.	Identity matrix
	D.	Square matrix

i,m not very familiar with matrixs and these are my only two questions about them.

amistre64 · Answer

an inverse has the property, that an operation on an element and its inverse produce the identity element ...

in this case, 1

amistre64 · Answer

not 1 ... had a stray thought

amistre64 · Answer

identity

anonymous · Answer

oh, thats what i thought but i just wasnt sure. but thank you so much. (:

amistre64 · Answer

youre welcome :)  in multiplication of numbers, the product of inverses is 1;  and an identity matrix has a diagonal of 1s and all else zeros ... 

in any case, an element and its inverse produces an identity element :)