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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
What is the proof of the anticommutator relationship for gamma matrices?
The proof of the anticommutator relationship for gamma matrices shows that when you multiply two gamma matrices and switch their order, the result is the negative of the original product. This relationship is important in quantum field theory and helps describe the behavior of particles.
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
How were the dimensions of the original Globe agreed upon by historians?
a
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
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.
What are the key differences between DS1 clones and their original counterparts?
The key differences between DS1 clones and their original counterparts are that clones are genetically identical copies of the original organism, while the original counterparts are the organisms from which the clones were derived. Clones have the same DNA as the original, but may exhibit differences in traits due to environmental factors or genetic mutations.
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
What is the principal reduction formula used to calculate the decrease in the original loan amount?
The principal reduction formula calculates the decrease in the original loan amount by subtracting the payment made towards the principal from the original loan balance.
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.
