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What else can I help you with?
When you multiply by a transformation it is multiplied on the left of the vertex matrix?
not all the time
Is it possible to multiply a 3 times 2 matrix?
yes of course, in one of three waysBy a constant called a scalarOn the left by a matrix with 3 columnsOn the right by a matrix with 2 rows
What is the difference between scalar multiplication and matrix multiplication?
Matrix multiplication is when you multiply the numbers inside different matricies.[topleft#1]Xtopleft#2=top left topright#1XBottomleft=top right bottom left X Topleft=top left bottom rightX bottom right=bottom right Scalar multiplication A number out side a matrix multiplies all parts of the matrix
What is identity matrix?
It is a square matrix whose principal diagonal (top-left to bottom-right) are 1s and all other entries are 0. It has the property that if it is used to pre- or post-multiply any square matrix M (of the same size), then the result is M.
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.
How do you find inverse of matrix by elementary transformation?
Starting with the square matrix A, create the augmented matrix AI = [A:I] which represents the columns of A followed by the columns of I, the identity matrix.Using elementary row operations only (no column operations), convert the left half of the matrix to the identity matrix. The right half, which started off as I, will now be the inverse of A.Starting with the square matrix A, create the augmented matrix AI = [A:I] which represents the columns of A followed by the columns of I, the identity matrix.Using elementary row operations only (no column operations), convert the left half of the matrix to the identity matrix. The right half, which started off as I, will now be the inverse of A.Starting with the square matrix A, create the augmented matrix AI = [A:I] which represents the columns of A followed by the columns of I, the identity matrix.Using elementary row operations only (no column operations), convert the left half of the matrix to the identity matrix. The right half, which started off as I, will now be the inverse of A.Starting with the square matrix A, create the augmented matrix AI = [A:I] which represents the columns of A followed by the columns of I, the identity matrix.Using elementary row operations only (no column operations), convert the left half of the matrix to the identity matrix. The right half, which started off as I, will now be the inverse of A.
How do you find the inverse of a matrix?
In general, this is a complicated process. The matrix you start with must be a square matrix; the inverse will also be square, and of the same size. When you multiply a matrix by it's inverse, the result is the 'identity matrix' - another matrix of the same size as the first two. It has a diagonal row of 1's from top left to bottom right, and 0's everywhere else. The concept of the inverse in matrix arithmetic is similar to a reciprocal in multiplication: 3 x 3-1 = 3 x 1/3 = 1 When you multiply a number by it's reciprocal, you get '1'. In matrix math, AA-1 = I The identity matrix 'I' corresponds to the number 1. It is useful to learn how to find the inverse of a matrix with a graphing calculator, so that you can check your answer.
What is 7 multiplied 100 times?
When you multiply 7 by 100, you are essentially multiplying 7 by 10 twice (since 100 is 10 multiplied by 10). The result is 700, as each multiplication by 10 shifts the digits to the left by one place value. Therefore, 7 multiplied by 100 equals 700.
What is the rule for multiplying by 0.1?
Write the number out completely. Locate the decimal point. Move the decimal point left by one digit. You have multiplied the number by 0.1 Example: Multiply 293.56 by 0.1 Move decimal point left one position: 29.356
What is nought point four multiplied by nine?
there is a simple way to do this, ignore the decimal point for now and multiply 9 by 4, 9x4=36, re-insert the decimal and you are left with 3.6 which is 9x0.4=3.6
What is 1.05 multiplied by 100?
105 To multiply a number by 100, just move the decimal point two places to the right. (To divide a number by 100, just move the decimal point two places to the left.)
How do you do traditional multipacation?
first you line your digits according to place value. then you multiply starting to the right then you continue down if you multiplied a number and gives you a 2 digit number then you bring it to the next number on the left top. that's it
