Given the following matrices: A=[129−120004]B=[0−126]C=[2100]D=[12−4] Identify the following: a) A-B b) B+C c) C-D d) B-C

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Tasneem Almond · Accepted Answer

Step 1  Given:  A=[129−120004]B=[0−126]C=[2100]D=[12−4]  a) A-B  b) B+C  c) C-D  d) B-C  Step 2  Concept:  The number of rows and columns of the matrix is known as its order  Step 3  Solution:  Order of the given matrices:  A=[129−120004]⇒order =3∗3   B=[0−126]⇒order =2∗2    C=[2100]⇒order =2∗2   D=[12−4]⇒order =3∗1  Step 4  For A-B  The order of Matrix A and B are different. Hence, we can’t do addition and subtraction in these matrices  Step 5  For B+C  The order of Matrix B and C are the same. Hence, we can do addition and subtraction in these matrices  B+C=[0−126]+[2100]   B+C=[0+2−1+12+06+0]   B+C=[2026]  Step 6  For C-D  The order of Matrix C and D are different. Hence, we can’t do addition and subtraction in these matrices  Step 7  For B-C  The order of Matrix B and C are the same. Hence, we can do addition and subtraction in these matrices  B−C=[0−126]−[2100]   B−C=[0−2−1−12−06−0]   B−C=[−2−226]

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Giventhe following matrices:A=begin{bmatrix}1 & 2 &9 -1 & 2 &0 0&0&4 end{bmatrix} B=begin{bmatrix}0 & -1 2 & 6 end{bmatrix} C=begin{bmatrix}2 & 1 0 & 0 end{bmatrix} D=begin{bmatrix}1 2 -4 end{bmatrix}Identify the following:a) A-Bb) B+Cc) C-Dd) B-C

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