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26.09.2020 adminLearn to write the additive inverse of the given matrices. Understand concepts such as the order of a matrix, multiplication of a matrix, identity matrices etc. Learn whether the given addition or subtraction of matrices is commutative or not commutative in the textbook questions. State, whether the following statements are true or false. If false, give a reason.
Transpose of a 2 1 matrix is a 1 2 matrix. A column matrix has only one column Class 10 Maths Ch 2 Ex 2.2 Youtube and many rows. Given: , find x, y and z. If two matrices are equal, then their corresponding elements are also equal. Therefore, we have:.
Solve for a, b and c if. Wherever possible, write each of the following as a single matrix. Find, x and y from the following equations :. Equating the corresponding elements, we get,. If possible, find:. Write the additive inverse of matrices A, B and C:.
We know additive inverse of a matrix is its negative. Given ; find the matrix X in each of the following:. Find x and y if:. Comparing the corresponding elements, we get,.
Comparing corresponding the elements, we get,. Simplifying, we get,. Given ; find:. If ; find the values of x, y and z. Solve for matrix X:. If , show that:. If I is the unit matrix of order 2 x 2; find the matrix M, such that:. Evaluate: if possible:. The number of columns in the first matrix is not equal to the number of rows in the second matrix.
Thus, the product is not possible. If and I is a unit matrix of order 2 2, find:. Find x and y, if:. If , find:. Given , find; if possible:.
Given , find:. If ; find:. If ; then show that:. If , simplify:. Solve for x and y:. In each case given below, find:. We know, the product of two matrices is defined only when the number of columns of first matrix is equal to the number of rows of the second matrix.
Clearly, the order of matrix M is 1 x 2. Clearly, the order of matrix M is 2 x 1. Multiplying 2 by 4, we get,. Subtracting 1 from 3 , we get,. From 2 , we get,. Hence, A is an identity matrix. If , then compute:.
Clearly, it can be said that:. Given the matrices:. If ; find each of the following and state if they are equal:. Clearly, the order of matrix X is 2 x 1. Comparing the two matrices, we get,. Multiplying 1 with 3, we get,. Subtracting 2 from 3 , we get,. From 1 , we have:. Where A t is the transpose of matrix A. Hence, proved. Evaluate without using tables:.
State, with reason, whether the following are true or false. A, B and C are matrices of order 2 x 2. Addition of matrices is commutative. Subtraction of matrices is not commutative. Multiplication of matrices is associative. Multiplication of matrices is distributive over addition. Multiplication of matrices is distributive over subtraction. Laws of algebra for factorization and expansion are not applicable to matrices.
If ; find x and y, if:. Let the order of matrix M be a x b. If , find the values of a, b and c. Given ; find the matrix X such that:. If , and I is identity matrix of the same order Ch 10 Maths Class 9 Theorems Mod and A t is the transpose of matrix A, find A t. Find the values of p and q. By comparing,. Substituting A 2 in 1 , we have. Multiplying 1 by 2, we get. Subtracting 2 from 3 , we get. Substituting the value of x in 1 , we get. Find the matrix C where C is a 2 by 2 matrix.
Given matrix. Hence, solve for a and b given. To find: a and b. Enter the OTP sent to your number Change. Resend OTP. Starting early can help you score better! Avail Offer. Chapter 9 - Matrices Exercise Ex. Question 2. Question 3.
Solve for a, b and c if i ii. Question 4. Question 5. Question 6. Question 7. Question 8. Question 9. Write the additive inverse of matrices A, B and C: Where. Question Question 16 i.
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