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Triangular Matrix

Let A=[[ 2 4;...

Question

Let

Find each of the following

(i) (ii) (iii)

(iv) (v)

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Solution

(i)

(ii)

(iii)

(iv) Matrix A has 2 columns. This number is equal to the number of rows in matrix B. Therefore, AB is defined as:

(v) Matrix B has 2 columns. This number is equal to the number of rows in matrix A. Therefore, BA is defined as:

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A = [\begin{matrix} 2 & 4 3 & 2 \end{matrix}], B = [\begin{matrix} 1 & 3 - 2 & 5 \end{matrix}], C = [\begin{matrix} - 2 & 5 3 & 4 \end{matrix}]

Find each of the following
(i)

A + B

A - B

3 A - C

A B

B A

A = [\begin{matrix} 2 & 4 3 & 2 \end{matrix}], B = [\begin{matrix} 1 & 3 - 2 & 5 \end{matrix}]

C = [\begin{matrix} - 2 & 5 3 & 4 \end{matrix}]

. Find the value of

3 A - 2 B + 3 C

Q. 2 41I. Let A=,C=Find each of the following:(i) A B(iv) AB(i) 3A - C(v) BA

[\begin{matrix} 2 & 4 \\ 3 & 2 \end{matrix}]

[\begin{matrix} 1 & 3 \\ - 2 & 5 \end{matrix}]

[\begin{matrix} - 2 & 5 \\ 3 & 4 \end{matrix}]

. Find each of the following:
(i) 2A − 3B
(ii) B − 4C
(iii) 3A − C
(iv) 3A − 2B + 3C

Q. Match the columns I and II:
(A)(a) - (ii), (b) -(V), (c)-(iii),(d) -(i);(e)-(iv)
(B)(a)- (v), (b) -(iv), (c)-(iii),(d) -(ii),(e)-(i)
(C)(a) - (v), (b) -(i), (c) -(ii), (d) -(iv), (e) -(iii)
(D) (a)-(iii), (b)- (ii), (c) -(i), (d) -(v), (e) -(iv)
(E)(a)-(i), (b) -(iv), (c) -(iii), (d) -(v), (e) -(ii)

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