Can anyone help me with the first question? It’s for my study guide I would really appreciate it
1 answer:
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Answer:
q = 4
Step-by-step explanation:
given p and q vary inversely then the equation relating them is
p = ← k is the constant of variation
to find k use the condition p = 29 when q = 16 , then
29 = ( multiply both sides by 16 )
464 = k
p = ← equation of variation
when p = 116 , then
116 = ( multiply both sides by q )
116q = 464 ( divide both sides by 116 )
q = 4
9514 1404 393
Answer:
they are not
Step-by-step explanation:
The inverse matrix is the transpose of the cofactor matrix, divided by the determinant.
The cofactor matrix for a 2×2 matrix is ...
The transpose of this will have the off-diagonal terms swapped, so the inverse matrix is ...
We see that the second matrix is the transpose of the cofactor matrix, but the determinant is (5)(2)-(3)(4) = -2, so there has clearly been no division by the determinant. The actual inverse matrix of the first one shown is ...
_____
You can compute the matrix product to see if you get an identity matrix. Here, the upper left term in the product is ...
(5)(2) +(4)(-3) = -2 . . . . . not 1, so the product matrix is not an identity matrix
The matrices are not inverses.