Transposing a Matrix, Additive Inverse of a matrix, multiplying a matrix by a real number (scalar).
I haven't received an question regarding yesterday's work, so I presume that you followed everything well and were able to do the sums without any trouble. If you do have a question, please do ask - it will help you and help me teach you better ! Let's move ahead
Transposing a matrix
Transposing a matrix means changing its rows into columns. Please refer to page 160, 12.5 where you are shown how to transpose a matrix and how to denote the new matrix
Please do Ex.12 (A) sum no.8 (i) and (ii).
The Additive Inverse of a matrix
The additive inverse of a matrix is that matrix which if it is added to the original matrix will give us a Zero or Null matrix (a matrix with all the elements 0). Thus if an element of a matrix is 2, the corresponding element in the additive inverse matrix will be -2, so when we add 2 and -2 we get 0.
If a matrix is named as A the name of the additive inverse of that matrix is -A
Please refer to pg.164, 12.10 if you find the above explanation insufficient.
Please do Ex.12(A sum no.9
Multiplication of a matrix by a real number (scalar)
If I wish to multiply a matrix A with a real number (any number which can be marked on a number line), say 6, then I can write it as 6A and I will need to multiply each element in the matrix by 6.
Please refer to page 165, 12.12 if you need further explanation.
Please do Ex.12(B) no.1(i), (ii), (iii), (iv).
I haven't received an question regarding yesterday's work, so I presume that you followed everything well and were able to do the sums without any trouble. If you do have a question, please do ask - it will help you and help me teach you better ! Let's move ahead
Transposing a matrix
Transposing a matrix means changing its rows into columns. Please refer to page 160, 12.5 where you are shown how to transpose a matrix and how to denote the new matrix
Please do Ex.12 (A) sum no.8 (i) and (ii).
The Additive Inverse of a matrix
The additive inverse of a matrix is that matrix which if it is added to the original matrix will give us a Zero or Null matrix (a matrix with all the elements 0). Thus if an element of a matrix is 2, the corresponding element in the additive inverse matrix will be -2, so when we add 2 and -2 we get 0.
If a matrix is named as A the name of the additive inverse of that matrix is -A
Please refer to pg.164, 12.10 if you find the above explanation insufficient.
Please do Ex.12(A sum no.9
Multiplication of a matrix by a real number (scalar)
If I wish to multiply a matrix A with a real number (any number which can be marked on a number line), say 6, then I can write it as 6A and I will need to multiply each element in the matrix by 6.
Please refer to page 165, 12.12 if you need further explanation.
Please do Ex.12(B) no.1(i), (ii), (iii), (iv).
Bless you !
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