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Yes, because otherwise addition and subtraction are not defined.

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Q: When adding or subtracting matrices do the dimensions of the sum or differences always match the original matrices?
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Why do square matrices only have multiplicative inverses?

there are pseudo inverses for non-square matrices a square matrix has an inverse only if the original matrix has full rank which implies that no vector is annihilated by the matrix as a multiplicative operator


When the dimensions of a triangle are tripled is the area of the new triangle 6 times greater than the original triangle?

No. It's 9 times greater. The area changes according to the square ofthe number that you use to multiply all the linear dimensions."3 squared" = 32 = 3 x 3 = 9If you made the dimensions of the triangle 10 times bigger, the areawould become 102 = 100 times greater.


A triangle is dilated with a scale factor of 2 If the area of the original triangle is 9 square inches what is the area of the image in square inches?

Area is proportional to the square of the linear dimensions. If the linear dimensions are doubled, the area is increased by a factor of 22 = 4. The new area is 9 x 4 = 36 square inches.


When each side of a given square is increased by 4 feets the area is increased by 64 feet determine the dimensions of original square?

Suppose the length of a side in the original square was S feet, so that the original area was S2 square feet. The incresed side is (S+4) feet [not feets!] giving a new area of (s+4)2 sq feet. So (S+4)2 = S2 + 64 S2 + 8x + 16 = S2 + 64 8S = 48 and so S = 6 ft


How do you find out percent if you have original amount and new amount?

First you subtract the new number from the original number then divide it by the original number and multiply that by 100 original-new __________*100 original

Related questions

Why do square matrices only have multiplicative inverses?

there are pseudo inverses for non-square matrices a square matrix has an inverse only if the original matrix has full rank which implies that no vector is annihilated by the matrix as a multiplicative operator


What sequence is formed by subtracting each term of a sequence from the next term?

It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b


How were the dimensions of the original Globe agreed upon by historians?

a


When a vector is multiplied by a scalar physical quantitythen what will be dimensions of resulting vector?

The same as the original vector. The scalar will change the numbers, but not the dimensions.


How is porcelain now different from original porcelain?

There are no differences


What is the raven standard progressive matrices?

Raven Standard Progressive Matrices: These were the original form of the matrices, first published in 1938. The booklet comprises five sets (A to E) of 12 items each (e.g., A1 through A12), with items within a set becoming increasingly difficult, requiring ever greater cognitive capacity to encode and analyze information. All items are presented in black ink on a white background


Are reconditioned engines as good as original engines?

no there are multiply differences


A graphic artist thinks he can add the matrices below using mental math. Which statement explains why he could be correct?

adding the additive identity matrix does not change the original matrix


If you look at an architectural plan for a kitchen are the dimensions with drywall on or drywall off?

1/4" scale blue prints show framing dimensions without drywall. Cabinet dimensions are taken after drywall and can be different than the original plans.


A rectangle has a base of 5 inches and a height of 7 inches If the dimensions are cut in half what will happen to the area of the rectangle?

It doesn't make any difference what the original dimensions are. If they're both cut in half, the area is reduced to 1/4 of the original area.


Compensating?

Compensation Strat. Rounding something towards the nearest 0's. Then afterwards adjusting back to the original number by adding and subtracting


What is thirteen two hundreths minus zero oneths?

thirteen two hundreths Subtracting zero from any number equals the original number.