The matrices are
S =(4 11 T= ( -8 11
-3 -8) 3 4 )
Inverse of a matrix is a matrix derived from another matrix such that if you pre- multiply it with the original matrix you get a unit matrix.
if we multiply S and T
ST will be
( 4 11 × (-8 11 = ( 1 0
-3 -8) -3 -4) 0 1)
and also TS
( -8 11 × (4 11 = ( 1 0
-3 -4) -3 -8) 0 1)
therefore, matrices S and T are inverses of each other because ST = TS= I
.
Answer:
-864
Step-by-step explanation:
The determinant of a matrix product is the product of the determinants. The determinant of a transpose is the same as the determinant of the original. Hence ...

The multiplication of an n×n matrix by a scalar 'a' multiplies its determinant by a^n, so the desired determinant is ...

For the brownie one it’s C
For the train one it’s B
For the flour one it’s C
Answer:
A = 43°
b = 25.8 (3 sig. fig.)
c = 14.5 (3 sig. fig.)
Step-by-step explanation:
Using angle sum of triangle, we get A = 180 - 104 - 33 = 43°
Using sin law,
b/sin104 = 18.1/sin43
b = 25.8 (3 sig. fig.)
c/sin33 = 18.1/sin43
c = 14.5 (3 sig. fig.)
Answer:
Range = (-<em>∞, 5</em>)
Step-by-step explanation:
This is the absolute value function with transformation.
The parent function is f(x) = |x|
This function has a "negative" in front, so it makes it reflect about x axis
The -4 after x makes horizontal translation of 4 units right
the +5 at the end makes the function translate 5 units UP
<em>The graph is shown in the attached picture.</em>
<em>Looking at the graph, we can clearly see the range. The range is the allowed y-values. Hence, we can see that the </em><em>range is -infinity to 5</em>
<em />
<em>answer is not properly given, so i can't choose from the options, but the answer is -∞, 5 to 5</em>