Let AequalsStartSet Bold a 1 comma Bold a 2 comma Bold a 3 EndSet and BequalsStartSet Bold b 1 comma Bold b 2 comma Bold b 3 EndSet be bases for a vector space V, and suppose Bold b 1 equals 4 Bold a 1 minus 3 Bold a 3, Bold b 2 equals negative Bold a 1 plus Bold a 2, Bold b 3 equals Bold a 1 plus Bold a 2 plus 5 Bold a 3. a. Find the change-of-coordinates matrix from Upper B to Upper A. b. Find left bracket Bold x right bracket Subscript Upper A for Bold x equals Bold b 1 minus 4 Bold b 2 plus 4 Bold b 3.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720