Multiplication of Matrices
Let A be a matrix of order mxn. Let B be a matrix of order nxp. Then the product of the matrices A and B is of order mxp. i.e., when we multiply two matrices the number of columns of the first matrix should be equal to the number of rows of the second matrix. Two matrices can be multiplied by usin..
Let A be a matrix of order mxn. Let B be a matrix of order nxp. Then the product of the matrices A and B is of order mxp. i.e., when we multiply two matrices the number of columns of the first matrix should be equal to the number of rows of the second matrix. Two matrices can be multiplied by usin..Matrices and Determinants Summary
The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by repl..
The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by repl..Question 1
Question: Prove that the number of ways in which (m+n) dissimilar things can be divided into two groups containing m and n Answer: If we select m things out of (m+n) things, then n things are left out . Then, this gives (m+n) that can be divided into two groups containing m ..
Question: Prove that the number of ways in which (m+n) dissimilar things can be divided into two groups containing m and n Answer: If we select m things out of (m+n) things, then n things are left out . Then, this gives (m+n) that can be divided into two groups containing m ..Sigma Notation
The Greek letter S (read as sigma) denotes the sum. When written before the n t h term of series, implies, the sum of all terms obtained by giving to n the different values 1,2,3n. Thu..
The Greek letter S (read as sigma) denotes the sum. When written before the n t h term of series, implies, the sum of all terms obtained by giving to n the different values 1,2,3n. Thu..Sequences and Series Examples
) A sequence may be described by giving a formula for its n t h term. (iii) A sequence may be described by specifying its first few terms and a formula to determine the other terms of the sequence in terms of its proceeding terms. A sequence is said to be a progression if its terms numeri..
Step 4:
Calculate T r + 1 for this value of r. This gives the greatest ter..
Step 4:
Put the value of r in the term T r + 1 . This gives the required particular term(s..
Justify step 3 in the following indirect proof.Given: Triangle LMNProo..
Justify step 3 in the following indirect proof. Given: Triangle LMN Proof : ΔLMN has at most one right angle. Step 1: Assume ΔLMN has more than one right angle. That is, assume that ∠ L and ∠ M are both right angles. Step 2: If L and M are both righ..
Step 4:
Take the maximum and minimum values of f out of the values calculated in step 3. These will be the absolute maximum or absolute minimum value..
Step 3:
Applying OR to all the combinations obtained in step 3, we have the expression x 1 x 2 x 3 + x 1 x 2 x 3 ' + x 1 x 2 ' x 3 + x 1 ' x 2 ' x ..
See what our Users say :
Any subject at any time, wow this is awesome ...Now i can even work at mid night...
Tutors are very patient to explain me the same problem again and again until i understand...Really helpful...Thank you all...
College grade math tutors are at affordable cost with a great quality tutoring, Great combination...Hats off to Tutor Vista.
Math is no more a problem at all for me, an hour tutoring everyday with an online tutor is helping me to get good grades
Looking for More Help!
