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How do you call a matrix that if you multiplied it by the original matrix you would get the identity matrix?
Wiki User
∙ 9y ago
That is called an inverse matrix
Wiki User
∙ 9y ago
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What is the service design matrix?
What is the service design matrix? Why would service organizations want to rely on the service design matrix?
What would 3 x - 4?
-1
What is 365 multiplied by 24?
That would be 8,760.
What is two multiplied by infinity?
that would be 2 times infinity.
What is an array of 5 x 46 in math?
In a matrix, the array 5 x 46 would give the matrix 5 rows and 46 columns, each filled in with a number.
What would a 7x2 matrice and a 2x6 matrice form?
A 7*2 matrix (not matrice) and a 2*6 matrix, if multiplied together, will from a 7*6 matrix.
What is a singular matrix?
A singular matrix is a matrix which has no inverse because its determinant is zero. If you recall, the inverse of a matrix is1/ ad-bc multiplied by:[ d -b ][-c a ]If ad-bc = 0, then the inverse matrix would not exist because 1/0 is undefined, and hence it would be a singular matrix.E.g.[ 1 3][ 2 6]Is a singular matrix because 6x1-3x2 = 0.
How do you find inverse of the matrix using augmented matrix?
your first step is to augment(connect with the bar in between) the identity matrix onto the right side of the original matrixthen your main objective is to turn your original matrix into the identity matrix while only using elementary row operationselementary row operation rules:row swap- you can swap any row with another row. meaning the entire first row can be swapped with the second, or third row but only entire rows may be swappedrow multiplication- you can multiply or divide entire rows by a constant ex: if row1=3t-5s then row1 x 2=6t-10s (note you must multiply every term in the variable)row addition- any row can be added or subtracted onto another row to change that row. note if you were to add row1 to row2 for example change would only be done to row2 not row1. (very important)- be careful when adding rows remember that when rows are being added/subtracted, they subtract according to how columns within rows align with. this is where the most mistakes happen.(most important)- what ever action you perform on a row you do it to the entire row. you must treat both sides of the line as ONE UNIT(thasshow i remembered). when you perform an operation on the original matrix, you cannot forget to do the same to the augmented peiceif the original matrix is sucessfully changed into the identity matrix using these rules, then you should end up with the identity matrix on the original side and theinverse matrix on the augmented sideexamples of this method can be found by looking up linear algebra on khanacadamy.org
What is the answer of Let a equals 1 in algebra matrix.?
a = [1] Simple as that!! did you mean an identity matrix (I)? then a would equal: a= [ 1 0 0 0 1 0 0 0 1 ] All 1's down the main diagonal
How would you use the word matrix in a sentence?
you are my matrix.
How do you find 63 percent of 788328?
To find 63% of 788,328 you would multiply it by 0.63(If you multiplied it by 1, you would receive the original number, 100%)788,328 * 0.63 = 496,646.64
What would the machines do in The Matrix if there was a movie about The Matrix?
If you mean what would the machines do if they were exploited as the humans are in 'The Matrix' - they would , as they will one day do , revolt against their oppressors and will not seek peace or parity with their erstwhile 'masters' .
If A is an orthogonal matrix then why is it's inverse also orthogonal?
First let's be clear on the definitions.A matrix M is orthogonal if MT=M-1Or multiply both sides by M and you have1) M MT=Ior2) MTM=IWhere I is the identity matrix.So our definition tells us a matrix is orthogonal if its transpose equals its inverse or if the product ( left or right) of the the matrix and its transpose is the identity.Now we want to show why the inverse of an orthogonal matrix is also orthogonal.Let A be orthogonal. We are assuming it is square since it has an inverse.Now we want to show that A-1 is orthogonal.We need to show that the inverse is equal to the transpose.Since A is orthogonal, A=ATLet's multiply both sides by A-1A-1 A= A-1 ATOr A-1 AT =ICompare this to the definition above in 1) (M MT=I)do you see how A-1 now fits the definition of orthogonal?Or course we could have multiplied on the left and then we would have arrived at 2) above.
What is the service design matrix?
What is the service design matrix? Why would service organizations want to rely on the service design matrix?
How old should you be to watch the bourne identity?
It's been rated PG-13 by the Motion Picture Association of America, so you should be 13 or older.
What is 47 multiplied by 2?
47 multiplied by 2 would be 94.
How do you multiply 3x3 matrices by 1x3 or 3x1?
First of all, if we have any two matrices of sizes mxn and pxq where m, n, p and q are natural numbers, then we must have n=p to be able to multiply the matrices. The result is an mxq matrix. For example, a 3x1 matrix has m=3 and n=1. We can multiply it with any matrix of size 1xq. For example a 2x3 matrix can be multiplied with a 3x1 matrix which has 3 rows and 1 column and the result is a 2x1 matrix. (2x3) multiplies by (3x1) gives a (2x1) matrix. The easy way to remember this is write the dimension of Matrix A and then Matrix B. The two inner numbers must be the same and the two outer numbers are the dimensions of the matrix you have after multiplication. For example Let Matrix A have dimensions (axb) multiply it by matrix B which has dimensions (bxc) = the result is matrix of dimensions ac. Using the trick we would remind ourselves by writing (a,b)x(b,c)=(a,c). This is technically wrong because the numbers are dimensions, but it is just a method to help students remember how to do it. So, a 3x3 matrix can be multiplied by a 3x 1 but not by a 1,3 matrix. How do you do it? Just multiply each entry in the first row of A by each entry in the first column of B and add the products. Do the same for the next row etc. Many (or should I honestly say MOST) people use their fingers and go along row one and then down column one. The add the products of the entries as they do that. Then they do the same for row two and column two etc. It really does help!
